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700138272 = 25337439449
BaseRepresentation
bin101001101110110…
…100001100100000
31210210102201011010
4221232310030200
52413213411042
6153250220520
723231035311
oct5156641440
91723381133
10700138272
1132a234279
12176584740
13b208a302
1468db2608
15416ed59c
hex29bb4320

700138272 has 96 divisors (see below), whose sum is σ = 1896048000. Its totient is φ = 226050048.

The previous prime is 700138267. The next prime is 700138279. The reversal of 700138272 is 272831007.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (700138279) 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 15 ways as a sum of consecutive naturals, for example, 1559104 + ... + 1559552.

It is an arithmetic number, because the mean of its divisors is an integer number (19750500).

Almost surely, 2700138272 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 700138272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948024000).

700138272 is an abundant number, since it is smaller than the sum of its proper divisors (1195909728).

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

700138272 is a wasteful number, since it uses less digits than its factorization.

700138272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 700138272 is about 26460.1260767971. The cubic root of 700138272 is about 887.9624608756.

Adding to 700138272 its reverse (272831007), we get a palindrome (972969279).

The spelling of 700138272 in words is "seven hundred million, one hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 439 444 449 592 878 888 898 1184 1317 1347 1756 1776 1796 2634 2694 3512 3552 3592 5268 5388 7024 7184 10536 10776 14048 14368 16243 16613 21072 21552 32486 33226 42144 43104 48729 49839 64972 66452 97458 99678 129944 132904 194916 197111 199356 259888 265808 389832 394222 398712 519776 531616 591333 779664 788444 797424 1182666 1559328 1576888 1594848 2365332 3153776 4730664 6307552 7293107 9461328 14586214 18922656 21879321 29172428 43758642 58344856 87517284 116689712 175034568 233379424 350069136 700138272