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61211016 = 233217431163
BaseRepresentation
bin1110100110000…
…0000110001000
311021011211201200
43221200012020
5111132223031
610023544200
71342166526
oct351400610
9137154650
1061211016
1131608819
12185bb060
13c8b2249
1481b5316
1555918e6
hex3a60188

61211016 has 96 divisors (see below), whose sum is σ = 179768160. Its totient is φ = 18740736.

The previous prime is 61210997. The next prime is 61211023. The reversal of 61211016 is 61011216.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 61211016.

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, 52051 + ... + 53213.

It is an arithmetic number, because the mean of its divisors is an integer number (1872585).

Almost surely, 261211016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61211016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89884080).

61211016 is an abundant number, since it is smaller than the sum of its proper divisors (118557144).

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

61211016 is a wasteful number, since it uses less digits than its factorization.

61211016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 61211016 is about 7823.7469284225. The cubic root of 61211016 is about 394.1031106018.

It can be divided in two parts, 612 and 11016, that added together give a triangular number (11628 = T152).

The spelling of 61211016 in words is "sixty-one million, two hundred eleven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 43 51 68 72 86 102 129 136 153 172 204 258 306 344 387 408 516 612 731 774 1032 1163 1224 1462 1548 2193 2326 2924 3096 3489 4386 4652 5848 6579 6978 8772 9304 10467 13158 13956 17544 19771 20934 26316 27912 39542 41868 50009 52632 59313 79084 83736 100018 118626 150027 158168 177939 200036 237252 300054 355878 400072 450081 474504 600108 711756 850153 900162 1200216 1423512 1700306 1800324 2550459 3400612 3600648 5100918 6801224 7651377 10201836 15302754 20403672 30605508 61211016