Search a number
-
+
672520704 = 2934159181
BaseRepresentation
bin101000000101011…
…101101000000000
31201212110120222020
4220011131220000
52334131130304
6150422241440
722444221522
oct5005355000
91655416866
10672520704
11315690839
12169286280
13a943a85b
1465463a12
153e0955d9
hex2815da00

672520704 has 160 divisors (see below), whose sum is σ = 1876754880. Its totient is φ = 213811200.

The previous prime is 672520679. The next prime is 672520711. The reversal of 672520704 is 407025276.

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, 3715494 + ... + 3715674.

It is an arithmetic number, because the mean of its divisors is an integer number (11729718).

Almost surely, 2672520704 is an apocalyptic number.

672520704 is a gapful number since it is divisible by the number (64) 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 672520704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938377440).

672520704 is an abundant number, since it is smaller than the sum of its proper divisors (1204234176).

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

672520704 is a wasteful number, since it uses less digits than its factorization.

672520704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 672520704 is about 25933.0041452972. The cubic root of 672520704 is about 876.1300030157.

The spelling of 672520704 in words is "six hundred seventy-two million, five hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 59 64 82 96 118 123 128 164 177 181 192 236 246 256 328 354 362 384 472 492 512 543 656 708 724 768 944 984 1086 1312 1416 1448 1536 1888 1968 2172 2419 2624 2832 2896 3776 3936 4344 4838 5248 5664 5792 7257 7421 7552 7872 8688 9676 10496 10679 11328 11584 14514 14842 15104 15744 17376 19352 20992 21358 22263 22656 23168 29028 29684 30208 31488 32037 34752 38704 42716 44526 45312 46336 58056 59368 62976 64074 69504 77408 85432 89052 90624 92672 116112 118736 128148 139008 154816 170864 178104 232224 237472 256296 278016 309632 341728 356208 437839 464448 474944 512592 619264 683456 712416 875678 928896 949888 1025184 1238528 1313517 1366912 1424832 1751356 1857792 1899776 2050368 2627034 2733824 2849664 3502712 3715584 3799552 4100736 5254068 5467648 5699328 7005424 8201472 10508136 11398656 14010848 16402944 21016272 28021696 42032544 56043392 84065088 112086784 168130176 224173568 336260352 672520704