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1012402916 = 22731971547
BaseRepresentation
bin111100010110000…
…000101011100100
32121120000101201022
4330112000223210
54033133343131
6244243150312
734042166000
oct7426005344
92546011638
101012402916
1147a525328
12243075398
131319906a5
1498659700
155dd3137b
hex3c580ae4

1012402916 has 96 divisors (see below), whose sum is σ = 2209536000. Its totient is φ = 404520480.

The previous prime is 1012402913. The next prime is 1012402939. The reversal of 1012402916 is 6192042101.

It is a super-3 number, since 3×10124029163 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012402913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1850555 + ... + 1851101.

It is an arithmetic number, because the mean of its divisors is an integer number (23016000).

Almost surely, 21012402916 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 1012402916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104768000).

1012402916 is an abundant number, since it is smaller than the sum of its proper divisors (1197133084).

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

1012402916 is a wasteful number, since it uses less digits than its factorization.

1012402916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1012402916 is about 31818.2795889407. The cubic root of 1012402916 is about 1004.1173296636.

The spelling of 1012402916 in words is "one billion, twelve million, four hundred two thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 49 71 76 98 133 142 196 266 284 343 497 532 547 686 931 994 1094 1349 1372 1862 1988 2188 2698 3479 3724 3829 5396 6517 6958 7658 9443 10393 13034 13916 15316 18886 20786 24353 26068 26803 37772 38837 41572 48706 53606 66101 72751 77674 97412 107212 132202 145502 155348 187621 264404 271859 291004 375242 462707 509257 543718 737903 750484 925414 1018514 1087436 1475806 1850828 1903013 2037028 2951612 3564799 3806026 5165321 7129598 7612052 10330642 13321091 14259196 20661284 26642182 36157247 53284364 72314494 144628988 253100729 506201458 1012402916