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612198090 = 232578811103
BaseRepresentation
bin100100011111010…
…110011011001010
31120122221212220100
4210133112123022
52223210314330
6140425310230
721112412040
oct4437263312
91518855810
10612198090
1129462a539
12151035376
1399aa9aba
145b440390
1538b2c060
hex247d66ca

612198090 has 96 divisors (see below), whose sum is σ = 1822818816. Its totient is φ = 139645440.

The previous prime is 612198089. The next prime is 612198131. The reversal of 612198090 is 90891216.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554479 + ... + 555581.

It is an arithmetic number, because the mean of its divisors is an integer number (18987696).

Almost surely, 2612198090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612198090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911409408).

612198090 is an abundant number, since it is smaller than the sum of its proper divisors (1210620726).

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

612198090 is a wasteful number, since it uses less digits than its factorization.

612198090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 612198090 is about 24742.6370866163. The cubic root of 612198090 is about 849.1100674306.

The spelling of 612198090 in words is "six hundred twelve million, one hundred ninety-eight thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 881 1103 1762 2206 2643 3309 4405 5286 5515 6167 6618 7721 7929 8810 9927 11030 12334 13215 15442 15858 16545 18501 19854 23163 26430 30835 33090 37002 38605 39645 46326 49635 55503 61670 69489 77210 79290 92505 99270 111006 115815 138978 185010 231630 277515 347445 555030 694890 971743 1943486 2915229 4858715 5830458 6802201 8745687 9717430 13604402 14576145 17491374 20406603 29152290 34011005 40813206 43728435 61219809 68022010 87456870 102033015 122439618 204066030 306099045 612198090