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640157436 = 22322341109173
BaseRepresentation
bin100110001010000…
…000011011111100
31122121120100220200
4212022000123330
52302340014221
6143304443500
721602151132
oct4612003374
91577510820
10640157436
112a9396836
1215a479590
13a2818ca9
146103b752
153b301426
hex262806fc

640157436 has 144 divisors (see below), whose sum is σ = 1755673920. Its totient is φ = 196162560.

The previous prime is 640157431. The next prime is 640157467. The reversal of 640157436 is 634751046.

It is a happy number.

640157436 is a `hidden beast` number, since 640 + 1 + 5 + 7 + 4 + 3 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 640157436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640157431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3700246 + ... + 3700418.

It is an arithmetic number, because the mean of its divisors is an integer number (12192180).

Almost surely, 2640157436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640157436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877836960).

640157436 is an abundant number, since it is smaller than the sum of its proper divisors (1115516484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

640157436 is a wasteful number, since it uses less digits than its factorization.

640157436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 640157436 is about 25301.3326921726. The cubic root of 640157436 is about 861.8445338817.

The spelling of 640157436 in words is "six hundred forty million, one hundred fifty-seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 109 123 138 164 173 207 218 246 276 327 346 369 414 436 492 519 654 692 738 828 943 981 1038 1308 1476 1557 1886 1962 2076 2507 2829 3114 3772 3924 3979 4469 5014 5658 6228 7093 7521 7958 8487 8938 10028 11316 11937 13407 14186 15042 15916 16974 17876 18857 21279 22563 23874 26814 28372 30084 33948 35811 37714 40221 42558 45126 47748 53628 56571 63837 71622 75428 80442 85116 90252 102787 113142 127674 143244 160884 163139 169713 205574 226284 255348 308361 326278 339426 411148 433711 489417 616722 652556 678852 773137 867422 925083 978834 1233444 1301133 1468251 1546274 1734844 1850166 1957668 2319411 2602266 2936502 3092548 3700332 3903399 4638822 5204532 5873004 6958233 7806798 9277644 13916466 15613596 17782151 27832932 35564302 53346453 71128604 106692906 160039359 213385812 320078718 640157436