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146790720 = 2632550969
BaseRepresentation
bin10001011111111…
…01100101000000
3101020012202000100
420233331211000
5300034300340
622322122400
73431462166
oct1057754500
9336182010
10146790720
117595004a
12411b0400
132454721b
14156d1236
15cd48830
hex8bfd940

146790720 has 84 divisors (see below), whose sum is σ = 504908820. Its totient is φ = 39143424.

The previous prime is 146790719. The next prime is 146790727. The reversal of 146790720 is 27097641.

It is a happy number.

146790720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36288576 + 110502144 = 6024^2 + 10512^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146790727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22605 + ... + 28364.

Almost surely, 2146790720 is an apocalyptic number.

146790720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146790720 is an abundant number, since it is smaller than the sum of its proper divisors (358118100).

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

146790720 is a wasteful number, since it uses less digits than its factorization.

146790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50992 (or 50979 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 146790720 is about 12115.7220172799. The cubic root of 146790720 is about 527.5126356818.

The spelling of 146790720 in words is "one hundred forty-six million, seven hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 50969 101938 152907 203876 254845 305814 407752 458721 509690 611628 764535 815504 917442 1019380 1223256 1529070 1631008 1834884 2038760 2293605 2446512 3058140 3262016 3669768 4077520 4587210 4893024 6116280 7339536 8155040 9174420 9786048 12232560 14679072 16310080 18348840 24465120 29358144 36697680 48930240 73395360 146790720