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460190040 = 233531123707
BaseRepresentation
bin11011011011011…
…111000101011000
31012001221002001120
4123123133011120
51420302040130
6113355245240
714255356632
oct3333370530
91161832046
10460190040
11216846652
1210a149820
1374456bcb
1445191a52
152a602910
hex1b6df158

460190040 has 64 divisors (see below), whose sum is σ = 1425116160. Its totient is φ = 118757760.

The previous prime is 460190033. The next prime is 460190041. The reversal of 460190040 is 40091064.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460190041) 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 15 ways as a sum of consecutive naturals, for example, 58134 + ... + 65573.

It is an arithmetic number, because the mean of its divisors is an integer number (22267440).

Almost surely, 2460190040 is an apocalyptic number.

460190040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460190040 is an abundant number, since it is smaller than the sum of its proper divisors (964926120).

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

460190040 is a wasteful number, since it uses less digits than its factorization.

460190040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123752 (or 123748 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 460190040 is about 21452.0404623896. The cubic root of 460190040 is about 772.0505528566.

The spelling of 460190040 in words is "four hundred sixty million, one hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 123707 247414 371121 494828 618535 742242 989656 1237070 1484484 1855605 2474140 2968968 3711210 3834917 4948280 7422420 7669834 11504751 14844840 15339668 19174585 23009502 30679336 38349170 46019004 57523755 76698340 92038008 115047510 153396680 230095020 460190040