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145954700 = 22526171337
BaseRepresentation
bin10001011001100…
…01011110001100
3101011122021012122
420230301132030
5244331022300
622252152112
73421410623
oct1054613614
9334567178
10145954700
1175429a21
1240a68638
1324313838
14155546ba
15cc30c85
hex8b3178c

145954700 has 72 divisors (see below), whose sum is σ = 327416544. Its totient is φ = 56448000.

The previous prime is 145954691. The next prime is 145954723. The reversal of 145954700 is 7459541.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432932 + ... + 433268.

It is an arithmetic number, because the mean of its divisors is an integer number (4547452).

Almost surely, 2145954700 is an apocalyptic number.

145954700 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 145954700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163708272).

145954700 is an abundant number, since it is smaller than the sum of its proper divisors (181461844).

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

145954700 is a wasteful number, since it uses less digits than its factorization.

145954700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 145954700 is about 12081.1713008301. The cubic root of 145954700 is about 526.5092775089.

The spelling of 145954700 in words is "one hundred forty-five million, nine hundred fifty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 61 71 100 122 142 244 284 305 337 355 610 674 710 1220 1348 1420 1525 1685 1775 3050 3370 3550 4331 6100 6740 7100 8425 8662 16850 17324 20557 21655 23927 33700 41114 43310 47854 82228 86620 95708 102785 108275 119635 205570 216550 239270 411140 433100 478540 513925 598175 1027850 1196350 1459547 2055700 2392700 2919094 5838188 7297735 14595470 29190940 36488675 72977350 145954700