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1072393416 = 233231480463
BaseRepresentation
bin111111111010110…
…110110011001000
32202201220020012200
4333322312303020
54144013042131
6254225040200
735401123263
oct7772666310
92681806180
101072393416
1150037a056
1225b186060
13141236223
14a25d3cda
15642312e6
hex3feb6cc8

1072393416 has 48 divisors (see below), whose sum is σ = 2998095360. Its totient is φ = 345932640.

The previous prime is 1072393403. The next prime is 1072393429. The reversal of 1072393416 is 6143932701.

1072393416 is a `hidden beast` number, since 1 + 0 + 7 + 239 + 3 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (1072393403) and next prime (1072393429).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238000 + ... + 242463.

It is an arithmetic number, because the mean of its divisors is an integer number (62460320).

Almost surely, 21072393416 is an apocalyptic number.

It is an amenable number.

1072393416 is an abundant number, since it is smaller than the sum of its proper divisors (1925701944).

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

1072393416 is a wasteful number, since it uses less digits than its factorization.

1072393416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480506 (or 480499 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1072393416 is about 32747.4184631400. The cubic root of 1072393416 is about 1023.5711730833.

The spelling of 1072393416 in words is "one billion, seventy-two million, three hundred ninety-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 480463 960926 1441389 1921852 2882778 3843704 4324167 5765556 8648334 11531112 14894353 17296668 29788706 34593336 44683059 59577412 89366118 119154824 134049177 178732236 268098354 357464472 536196708 1072393416