Search a number
-
+
64101440 = 2651319811
BaseRepresentation
bin1111010010000…
…1110001000000
311110121200122102
43310201301000
5112402221230
610205525532
71405565444
oct364416100
9143550572
1064101440
11332023a7
12195738a8
1310384a60
148728824
155963045
hex3d21c40

64101440 has 112 divisors (see below), whose sum is σ = 173248320. Its totient is φ = 22394880.

The previous prime is 64101431. The next prime is 64101487. The reversal of 64101440 is 4410146.

It is a happy number.

It is a super-2 number, since 2×641014402 = 8217989220147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78635 + ... + 79445.

It is an arithmetic number, because the mean of its divisors is an integer number (1546860).

Almost surely, 264101440 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 64101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86624160).

64101440 is an abundant number, since it is smaller than the sum of its proper divisors (109146880).

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

64101440 is a wasteful number, since it uses less digits than its factorization.

64101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 64101440 is about 8006.3374897640. The cubic root of 64101440 is about 400.2112217771.

Adding to 64101440 its reverse (4410146), we get a palindrome (68511586).

The spelling of 64101440 in words is "sixty-four million, one hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 130 152 160 190 208 247 260 304 320 380 416 494 520 608 760 811 832 988 1040 1216 1235 1520 1622 1976 2080 2470 3040 3244 3952 4055 4160 4940 6080 6488 7904 8110 9880 10543 12976 15409 15808 16220 19760 21086 25952 30818 32440 39520 42172 51904 52715 61636 64880 77045 79040 84344 105430 123272 129760 154090 168688 200317 210860 246544 259520 308180 337376 400634 421720 493088 616360 674752 801268 843440 986176 1001585 1232720 1602536 1686880 2003170 2465440 3205072 3373760 4006340 4930880 6410144 8012680 12820288 16025360 32050720 64101440