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1072936844 = 227172324261
BaseRepresentation
bin111111111100111…
…011011110001100
32202202220211122122
4333330323132030
54144132434334
6254244432112
735405545520
oct7774733614
92682824578
101072936844
11500710371
1225b3a8638
13141396695
14a26d5d80
15642dc32e
hex3ff3b78c

1072936844 has 72 divisors (see below), whose sum is σ = 2375741088. Its totient is φ = 413867520.

The previous prime is 1072936789. The next prime is 1072936847. The reversal of 1072936844 is 4486392701.

It is a junction number, because it is equal to n+sod(n) for n = 1072936795 and 1072936804.

It is not an unprimeable number, because it can be changed into a prime (1072936847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249674 + ... + 253934.

It is an arithmetic number, because the mean of its divisors is an integer number (32996404).

Almost surely, 21072936844 is an apocalyptic number.

1072936844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072936844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187870544).

1072936844 is an abundant number, since it is smaller than the sum of its proper divisors (1302804244).

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

1072936844 is a wasteful number, since it uses less digits than its factorization.

1072936844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 1072936844 is about 32755.7146769842. The cubic root of 1072936844 is about 1023.7440397748.

The spelling of 1072936844 in words is "one billion, seventy-two million, nine hundred thirty-six thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 529 644 782 1058 1564 2116 2737 3703 4261 5474 7406 8522 8993 10948 14812 17044 17986 29827 35972 59654 62951 72437 98003 119308 125902 144874 196006 251804 289748 392012 507059 686021 1014118 1372042 1666051 2028236 2254069 2744084 3332102 4508138 6664204 9016276 11662357 15778483 23324714 31556966 38319173 46649428 63113932 76638346 153276692 268234211 536468422 1072936844