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64640040 = 23354773157
BaseRepresentation
bin1111011010010…
…1010000101000
311111122001110120
43312211100220
5113021440130
610225243240
71413300633
oct366452050
9144561416
1064640040
1133540023
1219793520
1310512c5a
148828c1a
155a1c910
hex3da5428

64640040 has 128 divisors (see below), whose sum is σ = 202037760. Its totient is φ = 16533504.

The previous prime is 64640021. The next prime is 64640041. The reversal of 64640040 is 4004646.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (64640041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411642 + ... + 411798.

It is an arithmetic number, because the mean of its divisors is an integer number (1578420).

Almost surely, 264640040 is an apocalyptic number.

64640040 is a gapful number since it is divisible by the number (60) 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 64640040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101018880).

64640040 is an abundant number, since it is smaller than the sum of its proper divisors (137397720).

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

64640040 is a wasteful number, since it uses less digits than its factorization.

64640040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 64640040 is about 8039.9029844893. The cubic root of 64640040 is about 401.3289961992.

Adding to 64640040 its reverse (4004646), we get a palindrome (68644686).

The spelling of 64640040 in words is "sixty-four million, six hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 73 94 120 141 146 157 188 219 235 282 292 314 365 376 438 470 471 564 584 628 705 730 785 876 940 942 1095 1128 1256 1410 1460 1570 1752 1880 1884 2190 2355 2820 2920 3140 3431 3768 4380 4710 5640 6280 6862 7379 8760 9420 10293 11461 13724 14758 17155 18840 20586 22137 22922 27448 29516 34310 34383 36895 41172 44274 45844 51465 57305 59032 68620 68766 73790 82344 88548 91688 102930 110685 114610 137240 137532 147580 171915 177096 205860 221370 229220 275064 295160 343830 411720 442740 458440 538667 687660 885480 1077334 1375320 1616001 2154668 2693335 3232002 4309336 5386670 6464004 8080005 10773340 12928008 16160010 21546680 32320020 64640040