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145765700 = 225243109311
BaseRepresentation
bin10001011000000…
…11010101000100
3101011021122221122
420230003111010
5244304000300
622244133112
73416662613
oct1054032504
9334248848
10145765700
117530aa23
1240997198
13242787c2
141550587a
15cbe4c85
hex8b03544

145765700 has 72 divisors (see below), whose sum is σ = 327687360. Its totient is φ = 56246400.

The previous prime is 145765699. The next prime is 145765723. The reversal of 145765700 is 7567541.

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, 468545 + ... + 468855.

Almost surely, 2145765700 is an apocalyptic number.

145765700 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 145765700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163843680).

145765700 is an abundant number, since it is smaller than the sum of its proper divisors (181921660).

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

145765700 is a wasteful number, since it uses less digits than its factorization.

145765700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 145765700 is about 12073.3466777029. The cubic root of 145765700 is about 526.2819164691.

The spelling of 145765700 in words is "one hundred forty-five million, seven hundred sixty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 109 172 215 218 311 430 436 545 622 860 1075 1090 1244 1555 2150 2180 2725 3110 4300 4687 5450 6220 7775 9374 10900 13373 15550 18748 23435 26746 31100 33899 46870 53492 66865 67798 93740 117175 133730 135596 169495 234350 267460 334325 338990 468700 668650 677980 847475 1337300 1457657 1694950 2915314 3389900 5830628 7288285 14576570 29153140 36441425 72882850 145765700