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920139376 = 2413291031481
BaseRepresentation
bin110110110110000…
…011011001110000
32101010101220221011
4312312003121300
53341023430001
6231145440304
731542025042
oct6666033160
92333356834
10920139376
11432438372
122181a0094
13118828390
148a2bda92
1555ba8d51
hex36d83670

920139376 has 80 divisors (see below), whose sum is σ = 2006746560. Its totient is φ = 405780480.

The previous prime is 920139349. The next prime is 920139379. The reversal of 920139376 is 673931029.

920139376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920139379) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 620556 + ... + 622036.

It is an arithmetic number, because the mean of its divisors is an integer number (25084332).

Almost surely, 2920139376 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 920139376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003373280).

920139376 is an abundant number, since it is smaller than the sum of its proper divisors (1086607184).

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

920139376 is a wasteful number, since it uses less digits than its factorization.

920139376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 40.

The square root of 920139376 is about 30333.7992345173. The cubic root of 920139376 is about 972.6379380650.

The spelling of 920139376 in words is "nine hundred twenty million, one hundred thirty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 103 104 116 206 208 232 377 412 464 754 824 1339 1481 1508 1648 2678 2962 2987 3016 5356 5924 5974 6032 10712 11848 11948 19253 21424 23696 23896 38506 38831 42949 47792 77012 77662 85898 152543 154024 155324 171796 305086 308048 310648 343592 558337 610172 621296 687184 1116674 1220344 1983059 2233348 2440688 3966118 4423747 4466696 7932236 8847494 8933392 15864472 17694988 31728944 35389976 57508711 70779952 115017422 230034844 460069688 920139376