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1077965952 = 2737401029
BaseRepresentation
bin100000001000000…
…0111010010000000
32210010101100021220
41000100013102000
54201424402302
6254544315040
735466362610
oct10020072200
92703340256
101077965952
11503535858
12261012a80
1314243779b
14a3244a40
15649824bc
hex40407480

1077965952 has 64 divisors (see below), whose sum is σ = 3272404800. Its totient is φ = 307989504.

The previous prime is 1077965929. The next prime is 1077965963. The reversal of 1077965952 is 2595697701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1077965895 and 1077965904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197827 + ... + 203202.

It is an arithmetic number, because the mean of its divisors is an integer number (51131325).

Almost surely, 21077965952 is an apocalyptic number.

1077965952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1077965952 is an abundant number, since it is smaller than the sum of its proper divisors (2194438848).

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

1077965952 is an equidigital number, since it uses as much as digits as its factorization.

1077965952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401053 (or 401041 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 51.

The square root of 1077965952 is about 32832.3918105276. The cubic root of 1077965952 is about 1025.3410570776.

The spelling of 1077965952 in words is "one billion, seventy-seven million, nine hundred sixty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 401029 802058 1203087 1604116 2406174 2807203 3208232 4812348 5614406 6416464 8421609 9624696 11228812 12832928 16843218 19249392 22457624 25665856 33686436 38498784 44915248 51331712 67372872 76997568 89830496 134745744 153995136 179660992 269491488 359321984 538982976 1077965952