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146150120 = 23531432741
BaseRepresentation
bin10001011011000…
…01001011101000
3101012000012021102
420231201023220
5244403300440
622300300532
73423153434
oct1055411350
9335005242
10146150120
1175552826
1240b41748
132438177c
14155a59c4
15cc6db15
hex8b612e8

146150120 has 64 divisors (see below), whose sum is σ = 347466240. Its totient is φ = 55238400.

The previous prime is 146150107. The next prime is 146150129. The reversal of 146150120 is 21051641.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 146150092 and 146150101.

It is not an unprimeable number, because it can be changed into a prime (146150129) 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, 51950 + ... + 54690.

It is an arithmetic number, because the mean of its divisors is an integer number (5429160).

Almost surely, 2146150120 is an apocalyptic number.

146150120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146150120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173733120).

146150120 is an abundant number, since it is smaller than the sum of its proper divisors (201316120).

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

146150120 is a wasteful number, since it uses less digits than its factorization.

146150120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 146150120 is about 12089.2563873879. The cubic root of 146150120 is about 526.7441553097.

The spelling of 146150120 in words is "one hundred forty-six million, one hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 43 62 86 124 155 172 215 248 310 344 430 620 860 1240 1333 1720 2666 2741 5332 5482 6665 10664 10964 13330 13705 21928 26660 27410 53320 54820 84971 109640 117863 169942 235726 339884 424855 471452 589315 679768 849710 942904 1178630 1699420 2357260 3398840 3653753 4714520 7307506 14615012 18268765 29230024 36537530 73075060 146150120