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1919000040 = 233525036389
BaseRepresentation
bin111001001100001…
…1001110111101000
311221201221022011120
41302120121313220
512412231000130
6514230455240
765361142206
oct16230316750
94851838146
101919000040
118a5253151
12456804520
13247756aa9
14142c12076
15b3712910
hex72619de8

1919000040 has 64 divisors (see below), whose sum is σ = 5760201600. Its totient is φ = 511448832.

The previous prime is 1919000029. The next prime is 1919000047. The reversal of 1919000040 is 400009191.

It is a super-2 number, since 2×19190000402 = 7365122307040003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1919000047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297166 + ... + 303554.

It is an arithmetic number, because the mean of its divisors is an integer number (90003150).

Almost surely, 21919000040 is an apocalyptic number.

1919000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1919000040 is an abundant number, since it is smaller than the sum of its proper divisors (3841201560).

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

1919000040 is a wasteful number, since it uses less digits than its factorization.

1919000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8906 (or 8902 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1919000040 is about 43806.3926841734. The cubic root of 1919000040 is about 1242.6771935080.

The spelling of 1919000040 in words is "one billion, nine hundred nineteen million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2503 5006 6389 7509 10012 12515 12778 15018 19167 20024 25030 25556 30036 31945 37545 38334 50060 51112 60072 63890 75090 76668 95835 100120 127780 150180 153336 191670 255560 300360 383340 766680 15991667 31983334 47975001 63966668 79958335 95950002 127933336 159916670 191900004 239875005 319833340 383800008 479750010 639666680 959500020 1919000040