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1074827424 = 253118312263
BaseRepresentation
bin100000000010000…
…1001000010100000
32202220110220001010
41000010021002200
54200123434144
6254353140520
735430611436
oct10004110240
92686426033
101074827424
11501791830
1225bb5a740
131418a9078
14a2a68d56
15645625b9
hex401090a0

1074827424 has 96 divisors (see below), whose sum is σ = 3115252224. Its totient is φ = 321754880.

The previous prime is 1074827419. The next prime is 1074827449. The reversal of 1074827424 is 4247284701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81517 + ... + 93779.

It is an arithmetic number, because the mean of its divisors is an integer number (32450544).

Almost surely, 21074827424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074827424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557626112).

1074827424 is an abundant number, since it is smaller than the sum of its proper divisors (2040424800).

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

1074827424 is a wasteful number, since it uses less digits than its factorization.

1074827424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12370 (or 12362 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The square root of 1074827424 is about 32784.5607565512. The cubic root of 1074827424 is about 1024.3449867065.

The spelling of 1074827424 in words is "one billion, seventy-four million, eight hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 83 88 96 132 166 176 249 264 332 352 498 528 664 913 996 1056 1328 1826 1992 2656 2739 3652 3984 5478 7304 7968 10956 12263 14608 21912 24526 29216 36789 43824 49052 73578 87648 98104 134893 147156 196208 269786 294312 392416 404679 539572 588624 809358 1017829 1079144 1177248 1618716 2035658 2158288 3053487 3237432 4071316 4316576 6106974 6474864 8142632 11196119 12213948 12949728 16285264 22392238 24427896 32570528 33588357 44784476 48855792 67176714 89568952 97711584 134353428 179137904 268706856 358275808 537413712 1074827424