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1931428440 = 233255365079
BaseRepresentation
bin111001100011111…
…0100001001011000
311222121022201201200
41303013310021120
512423421202230
6515353114200
765601604464
oct16307641130
94877281650
101931428440
11901271857
1245a9b8960
1324a1b8a86
141447294a4
15b486a160
hex731f4258

1931428440 has 48 divisors (see below), whose sum is σ = 6277143600. Its totient is φ = 515047488.

The previous prime is 1931428439. The next prime is 1931428469. The reversal of 1931428440 is 448241391.

It is a happy number.

1931428440 is a `hidden beast` number, since 193 + 1 + 4 + 28 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1931428395 and 1931428404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2682180 + ... + 2682899.

It is an arithmetic number, because the mean of its divisors is an integer number (130773825).

Almost surely, 21931428440 is an apocalyptic number.

1931428440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1931428440 is an abundant number, since it is smaller than the sum of its proper divisors (4345715160).

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

1931428440 is a wasteful number, since it uses less digits than its factorization.

1931428440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5365096 (or 5365089 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1931428440 is about 43948.0197506099. The cubic root of 1931428440 is about 1245.3541548235.

The spelling of 1931428440 in words is "one billion, nine hundred thirty-one million, four hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5365079 10730158 16095237 21460316 26825395 32190474 42920632 48285711 53650790 64380948 80476185 96571422 107301580 128761896 160952370 193142844 214603160 241428555 321904740 386285688 482857110 643809480 965714220 1931428440