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1075116924 = 2232717416121
BaseRepresentation
bin100000000010100…
…1111101101111100
32202221000121011100
41000011033231330
54200212220144
6254403253100
735433225450
oct10005175574
92687017140
101075116924
1150196a292
1226007a190
1314197aa7b
14a2b02660
15645bd269
hex4014fb7c

1075116924 has 144 divisors (see below), whose sum is σ = 3369352896. Its totient is φ = 282009600.

The previous prime is 1075116901. The next prime is 1075116943. The reversal of 1075116924 is 4296115701.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172584 + ... + 178704.

It is an arithmetic number, because the mean of its divisors is an integer number (23398284).

Almost surely, 21075116924 is an apocalyptic number.

1075116924 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 1075116924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684676448).

1075116924 is an abundant number, since it is smaller than the sum of its proper divisors (2294235972).

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

1075116924 is a wasteful number, since it uses less digits than its factorization.

1075116924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6196 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1075116924 is about 32788.9756473117. The cubic root of 1075116924 is about 1024.4369460439.

The spelling of 1075116924 in words is "one billion, seventy-five million, one hundred sixteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 41 42 51 63 68 82 84 102 119 123 126 153 164 204 238 246 252 287 306 357 369 476 492 574 612 697 714 738 861 1071 1148 1394 1428 1476 1722 2091 2142 2583 2788 3444 4182 4284 4879 5166 6121 6273 8364 9758 10332 12242 12546 14637 18363 19516 24484 25092 29274 36726 42847 43911 55089 58548 73452 85694 87822 104057 110178 128541 171388 175644 208114 220356 250961 257082 312171 385623 416228 501922 514164 624342 728399 752883 771246 936513 1003844 1248684 1456798 1505766 1542492 1756727 1873026 2185197 2258649 2913596 3011532 3513454 3746052 4266337 4370394 4517298 5270181 6555591 7026908 8532674 8740788 9034596 10540362 12799011 13111182 15810543 17065348 21080724 25598022 26222364 29864359 31621086 38397033 51196044 59728718 63242172 76794066 89593077 119457436 153588132 179186154 268779231 358372308 537558462 1075116924