Search a number
-
+
1201930872 = 2331723349367
BaseRepresentation
bin100011110100100…
…0000001001111000
310002202122102012020
41013221000021320
54430143241442
6315133314440
741533146432
oct10751001170
93082572166
101201930872
115675054aa
12296635a20
1316201c2cc
14b58b3652
15707bc9ec
hex47a40278

1201930872 has 128 divisors (see below), whose sum is σ = 3338496000. Its totient is φ = 358668288.

The previous prime is 1201930817. The next prime is 1201930879. The reversal of 1201930872 is 2780391021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201930879) 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, 3274833 + ... + 3275199.

It is an arithmetic number, because the mean of its divisors is an integer number (26082000).

Almost surely, 21201930872 is an apocalyptic number.

1201930872 is a gapful number since it is divisible by the number (12) 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 1201930872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669248000).

1201930872 is an abundant number, since it is smaller than the sum of its proper divisors (2136565128).

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

1201930872 is a wasteful number, since it uses less digits than its factorization.

1201930872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1201930872 is about 34668.8746860927. The cubic root of 1201930872 is about 1063.2282242212.

The spelling of 1201930872 in words is "one billion, two hundred one million, nine hundred thirty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 349 367 391 408 552 698 734 782 1047 1101 1173 1396 1468 1564 2094 2202 2346 2792 2936 3128 4188 4404 4692 5933 6239 8027 8376 8441 8808 9384 11866 12478 16054 16882 17799 18717 23732 24081 24956 25323 32108 33764 35598 37434 47464 48162 49912 50646 64216 67528 71196 74868 96324 101292 128083 136459 142392 143497 149736 192648 202584 256166 272918 286994 384249 409377 430491 512332 545836 573988 768498 818754 860982 1024664 1091672 1147976 1536996 1637508 1721964 2177411 2945909 3073992 3275016 3443928 4354822 5891818 6532233 8709644 8837727 11783636 13064466 17419288 17675454 23567272 26128932 35350908 50080453 52257864 70701816 100160906 150241359 200321812 300482718 400643624 600965436 1201930872