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1061013924 = 223337793361
BaseRepresentation
bin111111001111011…
…100100110100100
32201221111002111000
4333033130212210
54133104421144
6253141113300
735202320025
oct7717344644
92657432430
101061013924
114a4a07513
122573b8830
1313ba807b9
14a0cb0c4c
1563234769
hex3f3dc9a4

1061013924 has 96 divisors (see below), whose sum is σ = 2861734400. Its totient is φ = 339655680.

The previous prime is 1061013917. The next prime is 1061013953. The reversal of 1061013924 is 4293101601.

1061013924 is a `hidden beast` number, since 10 + 610 + 1 + 39 + 2 + 4 = 666.

It is a super-2 number, since 2×10610139242 = 2251501093843755552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314004 + ... + 317364.

Almost surely, 21061013924 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 1061013924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430867200).

1061013924 is an abundant number, since it is smaller than the sum of its proper divisors (1800720476).

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

1061013924 is a wasteful number, since it uses less digits than its factorization.

1061013924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1061013924 is about 32573.2086844388. The cubic root of 1061013924 is about 1019.9378162783.

The spelling of 1061013924 in words is "one billion, sixty-one million, thirteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 79 108 111 148 158 222 237 316 333 444 474 666 711 948 999 1332 1422 1998 2133 2844 2923 3361 3996 4266 5846 6722 8532 8769 10083 11692 13444 17538 20166 26307 30249 35076 40332 52614 60498 78921 90747 105228 120996 124357 157842 181494 248714 265519 315684 362988 373071 497428 531038 746142 796557 1062076 1119213 1492284 1593114 2238426 2389671 3186228 3357639 4476852 4779342 6715278 7169013 9558684 9824203 13430556 14338026 19648406 28676052 29472609 39296812 58945218 88417827 117890436 176835654 265253481 353671308 530506962 1061013924