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122372040 = 23357145681
BaseRepresentation
bin1110100101100…
…11111111001000
322112021010212210
413102303333020
5222311401130
620050505120
73014100540
oct722637710
9275233783
10122372040
1163091a1a
1234b951a0
131c4777bb
1412376320
15ab235b0
hex74b3fc8

122372040 has 64 divisors (see below), whose sum is σ = 419564160. Its totient is φ = 27970560.

The previous prime is 122372021. The next prime is 122372051. The reversal of 122372040 is 40273221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 122371998 and 122372016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72001 + ... + 73680.

It is an arithmetic number, because the mean of its divisors is an integer number (6555690).

Almost surely, 2122372040 is an apocalyptic number.

122372040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122372040 is an abundant number, since it is smaller than the sum of its proper divisors (297192120).

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

122372040 is a wasteful number, since it uses less digits than its factorization.

122372040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145702 (or 145698 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 122372040 is about 11062.1896566638. The cubic root of 122372040 is about 496.4712071647.

The spelling of 122372040 in words is "one hundred twenty-two million, three hundred seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 145681 291362 437043 582724 728405 874086 1019767 1165448 1456810 1748172 2039534 2185215 2913620 3059301 3496344 4079068 4370430 5098835 5827240 6118602 8158136 8740860 10197670 12237204 15296505 17481720 20395340 24474408 30593010 40790680 61186020 122372040