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920073984 = 2831198013
BaseRepresentation
bin110110110101110…
…011011100000000
32101010021121020020
4312311303130000
53341014331414
6231144213440
731541333304
oct6665633400
92333247206
10920073984
114323a3225
1221816a280
1311880469b
148a2a3d04
1555b947a9
hex36d73700

920073984 has 36 divisors (see below), whose sum is σ = 2448740616. Its totient is φ = 306691072.

The previous prime is 920073953. The next prime is 920074009. The reversal of 920073984 is 489370029.

920073984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9200739842 = 1693072272067264512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 598239 + ... + 599774.

Almost surely, 2920073984 is an apocalyptic number.

It is an amenable number.

920073984 is an abundant number, since it is smaller than the sum of its proper divisors (1528666632).

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

920073984 is a wasteful number, since it uses less digits than its factorization.

920073984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198032 (or 1198018 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 920073984 is about 30332.7213418117. The cubic root of 920073984 is about 972.6148965388.

The spelling of 920073984 in words is "nine hundred twenty million, seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1198013 2396026 3594039 4792052 7188078 9584104 14376156 19168208 28752312 38336416 57504624 76672832 115009248 153345664 230018496 306691328 460036992 920073984