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146974920 = 23352634657
BaseRepresentation
bin10001100001010…
…10100011001000
3101020120002200120
420300222203020
5300111144140
622330103240
73433160211
oct1060524310
9336502616
10146974920
1175a66484
124127ab20
13245b0011
141573c408
15cd831d0
hex8c2a8c8

146974920 has 64 divisors (see below), whose sum is σ = 442696320. Its totient is φ = 39035904.

The previous prime is 146974913. The next prime is 146974939. The reversal of 146974920 is 29479641.

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, 29232 + ... + 33888.

It is an arithmetic number, because the mean of its divisors is an integer number (6917130).

Almost surely, 2146974920 is an apocalyptic number.

146974920 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 146974920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221348160).

146974920 is an abundant number, since it is smaller than the sum of its proper divisors (295721400).

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

146974920 is a wasteful number, since it uses less digits than its factorization.

146974920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4934 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 146974920 is about 12123.3213270951. The cubic root of 146974920 is about 527.7331927947.

The spelling of 146974920 in words is "one hundred forty-six million, nine hundred seventy-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 263 526 789 1052 1315 1578 2104 2630 3156 3945 4657 5260 6312 7890 9314 10520 13971 15780 18628 23285 27942 31560 37256 46570 55884 69855 93140 111768 139710 186280 279420 558840 1224791 2449582 3674373 4899164 6123955 7348746 9798328 12247910 14697492 18371865 24495820 29394984 36743730 48991640 73487460 146974920