Search a number
-
+
1392700128 = 25337210597
BaseRepresentation
bin101001100000010…
…1110101011100000
310121001121111102020
41103000232223200
510323012401003
6350110221440
746340520141
oct12300565340
93531544366
101392700128
11655163246
1232a4b4880
131926c3c21
14d2d71ac8
1582401d53
hex5302eae0

1392700128 has 72 divisors (see below), whose sum is σ = 3757669272. Its totient is φ = 451643904.

The previous prime is 1392700121. The next prime is 1392700157. The reversal of 1392700128 is 8210072931.

It is a super-2 number, since 2×13927001282 = 3879227293062432768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1392700121) 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 11 ways as a sum of consecutive naturals, for example, 126126 + ... + 136722.

It is an arithmetic number, because the mean of its divisors is an integer number (52189851).

Almost surely, 21392700128 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 1392700128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878834636).

1392700128 is an abundant number, since it is smaller than the sum of its proper divisors (2364969144).

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

1392700128 is a wasteful number, since it uses less digits than its factorization.

1392700128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10684 (or 10639 counting only the distinct ones).

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

The square root of 1392700128 is about 37318.8977329181. The cubic root of 1392700128 is about 1116.7411990152.

It can be divided in two parts, 1392 and 700128, that added together give a triangular number (701520 = T1184).

The spelling of 1392700128 in words is "one billion, three hundred ninety-two million, seven hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1369 1776 2738 3552 4107 5476 8214 10597 10952 16428 21194 21904 31791 32856 42388 43808 63582 65712 84776 127164 131424 169552 254328 339104 392089 508656 784178 1017312 1176267 1568356 2352534 3136712 4705068 6273424 9410136 12546848 14507293 18820272 29014586 37640544 43521879 58029172 87043758 116058344 174087516 232116688 348175032 464233376 696350064 1392700128