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157399680 = 2735731123
BaseRepresentation
bin10010110000110…
…11101010000000
3101222011201202210
421120123222000
5310243242210
623341342120
73620606124
oct1130335200
9358151683
10157399680
1180936789
1244867940
13267c0009
1416c93584
15dc41e20
hex961ba80

157399680 has 128 divisors (see below), whose sum is σ = 509037120. Its totient is φ = 41361408.

The previous prime is 157399637. The next prime is 157399709. The reversal of 157399680 is 86993751.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139599 + ... + 140721.

Almost surely, 2157399680 is an apocalyptic number.

157399680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254518560).

157399680 is an abundant number, since it is smaller than the sum of its proper divisors (351637440).

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

157399680 is a wasteful number, since it uses less digits than its factorization.

157399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 157399680 is about 12545.9029168888. The cubic root of 157399680 is about 539.9264646094.

The spelling of 157399680 in words is "one hundred fifty-seven million, three hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 292 320 365 384 438 480 584 640 730 876 960 1095 1123 1168 1460 1752 1920 2190 2246 2336 2920 3369 3504 4380 4492 4672 5615 5840 6738 7008 8760 8984 9344 11230 11680 13476 14016 16845 17520 17968 22460 23360 26952 28032 33690 35040 35936 44920 46720 53904 67380 70080 71872 81979 89840 107808 134760 140160 143744 163958 179680 215616 245937 269520 327916 359360 409895 431232 491874 539040 655832 718720 819790 983748 1078080 1229685 1311664 1639580 1967496 2156160 2459370 2623328 3279160 3934992 4918740 5246656 6558320 7869984 9837480 10493312 13116640 15739968 19674960 26233280 31479936 39349920 52466560 78699840 157399680