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164850240 = 2635171719
BaseRepresentation
bin10011101001101…
…10101001000000
3102111012021000110
421310312221000
5314200201430
624205151320
74041126642
oct1164665100
9374167013
10164850240
1185065475
124725b540
13281cb329
1417c72892
15e7147b0
hex9d36a40

164850240 has 56 divisors (see below), whose sum is σ = 523402560. Its totient is φ = 43959808.

The previous prime is 164850227. The next prime is 164850253. The reversal of 164850240 is 42058461.

It is an interprime number because it is at equal distance from previous prime (164850227) and next prime (164850253).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 164850198 and 164850207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84900 + ... + 86819.

Almost surely, 2164850240 is an apocalyptic number.

164850240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164850240 is an abundant number, since it is smaller than the sum of its proper divisors (358552320).

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

164850240 is a wasteful number, since it uses less digits than its factorization.

164850240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171739 (or 171729 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 164850240 is about 12839.4018552267. The cubic root of 164850240 is about 548.3146646843.

The spelling of 164850240 in words is "one hundred sixty-four million, eight hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 171719 343438 515157 686876 858595 1030314 1373752 1717190 2060628 2575785 2747504 3434380 4121256 5151570 5495008 6868760 8242512 10303140 10990016 13737520 16485024 20606280 27475040 32970048 41212560 54950080 82425120 164850240