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1960000956 = 223347386131
BaseRepresentation
bin111010011010011…
…0011110110111100
312001121002100212000
41310310303312330
513003230012311
6522253342300
766366506334
oct16464636674
95047070760
101960000956
11916407801
12468497990
132530b10a4
141484460c4
15b7111056
hex74d33dbc

1960000956 has 48 divisors (see below), whose sum is σ = 5189614080. Its totient is φ = 639431280.

The previous prime is 1960000921. The next prime is 1960000957. The reversal of 1960000956 is 6590000691.

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

1960000956 is a modest number, since divided by 956 gives 196 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 1960000956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960000957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187990 + ... + 198141.

It is an arithmetic number, because the mean of its divisors is an integer number (108116960).

Almost surely, 21960000956 is an apocalyptic number.

It is an amenable number.

1960000956 is an abundant number, since it is smaller than the sum of its proper divisors (3229613124).

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

1960000956 is a wasteful number, since it uses less digits than its factorization.

1960000956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386191 (or 386183 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1960000956 is about 44271.8980392754. The cubic root of 1960000956 is about 1251.4651526046.

The spelling of 1960000956 in words is "one billion, nine hundred sixty million, nine hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 5076 386131 772262 1158393 1544524 2316786 3475179 4633572 6950358 10425537 13900716 18148157 20851074 36296314 41702148 54444471 72592628 108888942 163333413 217777884 326666826 490000239 653333652 980000478 1960000956