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1960628033 = 721317091801
BaseRepresentation
bin111010011011100…
…1100111101000001
312001122021020001002
41310313030331001
513003410044113
6522315021345
766405030500
oct16467147501
95048236032
101960628033
119167a5951
1246873a855
13253270640
1414856a837
15b71d6c58
hex74dccf41

1960628033 has 24 divisors (see below), whose sum is σ = 2458973160. Its totient is φ = 1549497600.

The previous prime is 1960628029. The next prime is 1960628053. The reversal of 1960628033 is 3308260691.

It can be written as a sum of positive squares in 4 ways, for example, as 62457409 + 1898170624 = 7903^2 + 43568^2 .

It is not a de Polignac number, because 1960628033 - 22 = 1960628029 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1960628053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1087733 + ... + 1089533.

It is an arithmetic number, because the mean of its divisors is an integer number (102457215).

Almost surely, 21960628033 is an apocalyptic number.

1960628033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1960628033 is a deficient number, since it is larger than the sum of its proper divisors (498345127).

1960628033 is a wasteful number, since it uses less digits than its factorization.

1960628033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 1960628033 is about 44278.9795839967. The cubic root of 1960628033 is about 1251.5986017464.

The spelling of 1960628033 in words is "one billion, nine hundred sixty million, six hundred twenty-eight thousand, thirty-three".

Divisors: 1 7 13 49 91 637 1709 1801 11963 12607 22217 23413 83741 88249 155519 163891 1088633 1147237 3077909 21545363 40012817 150817541 280089719 1960628033