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920672064 = 263213122953
BaseRepresentation
bin110110111000000…
…101011101000000
32101011101222122100
4312320011131000
53341143001224
6231205110400
731546404054
oct6670053500
92334358570
10920672064
11432771604
122183b8400
13118983990
148a3bbc64
1555c61ac9
hex36e05740

920672064 has 84 divisors (see below), whose sum is σ = 2841958756. Its totient is φ = 283281408.

The previous prime is 920672047. The next prime is 920672089. The reversal of 920672064 is 460276029.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 528632064 + 392040000 = 22992^2 + 19800^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 53989 + ... + 68964.

Almost surely, 2920672064 is an apocalyptic number.

It is an amenable number.

920672064 is an abundant number, since it is smaller than the sum of its proper divisors (1921286692).

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

920672064 is a wasteful number, since it uses less digits than its factorization.

920672064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122984 (or 122971 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 920672064 is about 30342.5784006567. The cubic root of 920672064 is about 972.8255953633.

The spelling of 920672064 in words is "nine hundred twenty million, six hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 122953 245906 368859 491812 737718 983624 1106577 1475436 1598389 1967248 2213154 2950872 3196778 3934496 4426308 4795167 5901744 6393556 7868992 8852616 9590334 11803488 12787112 14385501 17705232 19180668 23606976 25574224 28771002 35410464 38361336 51148448 57542004 70820928 76722672 102296896 115084008 153445344 230168016 306890688 460336032 920672064