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1481002920 = 233358831553
BaseRepresentation
bin101100001000110…
…0100111110101000
310211012202202002000
41120101210332220
511013114043140
6402543011000
751462213525
oct13021447650
93735682060
101481002920
1169aa95461
12353b99a60
131a7aa04b7
1410099a14c
158a045a30
hex58464fa8

1481002920 has 128 divisors (see below), whose sum is σ = 4945449600. Its totient is φ = 394232832.

The previous prime is 1481002909. The next prime is 1481002921. The reversal of 1481002920 is 292001841.

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

It is not an unprimeable number, because it can be changed into a prime (1481002921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 952864 + ... + 954416.

It is an arithmetic number, because the mean of its divisors is an integer number (38636325).

Almost surely, 21481002920 is an apocalyptic number.

1481002920 is a gapful number since it is divisible by the number (10) 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 1481002920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472724800).

1481002920 is an abundant number, since it is smaller than the sum of its proper divisors (3464446680).

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

1481002920 is a wasteful number, since it uses less digits than its factorization.

1481002920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1481002920 is about 38483.8007478471. The cubic root of 1481002920 is about 1139.8612019382.

The spelling of 1481002920 in words is "one billion, four hundred eighty-one million, two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 883 1080 1553 1766 2649 3106 3532 4415 4659 5298 6212 7064 7765 7947 8830 9318 10596 12424 13245 13977 15530 15894 17660 18636 21192 23295 23841 26490 27954 31060 31788 35320 37272 39735 41931 46590 47682 52980 55908 62120 63576 69885 79470 83862 93180 95364 105960 111816 119205 139770 158940 167724 186360 190728 209655 238410 279540 317880 335448 419310 476820 559080 838620 953640 1371299 1677240 2742598 4113897 5485196 6856495 8227794 10970392 12341691 13712990 16455588 20569485 24683382 27425980 32911176 37025073 41138970 49366764 54851960 61708455 74050146 82277940 98733528 123416910 148100292 164555880 185125365 246833820 296200584 370250730 493667640 740501460 1481002920