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151378700 = 225211197243
BaseRepresentation
bin10010000010111…
…01101100001100
3101112211211112112
421001131230030
5302223104300
623004323152
73515461214
oct1101355414
9345754475
10151378700
11784a4070
12428434b8
13254925c5
1416167244
15d452e35
hex905db0c

151378700 has 72 divisors (see below), whose sum is σ = 377267520. Its totient is φ = 52142400.

The previous prime is 151378691. The next prime is 151378723. The reversal of 151378700 is 7873151.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17279 + ... + 24521.

Almost surely, 2151378700 is an apocalyptic number.

151378700 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 151378700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188633760).

151378700 is an abundant number, since it is smaller than the sum of its proper divisors (225888820).

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

151378700 is a wasteful number, since it uses less digits than its factorization.

151378700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287 (or 7280 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 151378700 is about 12303.6051627155. The cubic root of 151378700 is about 532.9521973117.

The spelling of 151378700 in words is "one hundred fifty-one million, three hundred seventy-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 7243 10450 14486 20900 28972 36215 72430 79673 137617 144860 159346 181075 275234 318692 362150 398365 550468 688085 724300 796730 1376170 1513787 1593460 1991825 2752340 3027574 3440425 3983650 6055148 6880850 7568935 7967300 13761700 15137870 30275740 37844675 75689350 151378700