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61149420 = 22325834093
BaseRepresentation
bin1110100101000…
…1000011101100
311021001201020100
43221101003230
5111123240140
610022351100
71341522123
oct351210354
9137051210
1061149420
1131576512
121858b490
13c8901b7
14819aaba
15557d530
hex3a510ec

61149420 has 72 divisors (see below), whose sum is σ = 187767216. Its totient is φ = 16106112.

The previous prime is 61149401. The next prime is 61149421. The reversal of 61149420 is 2494116.

61149420 is a `hidden beast` number, since 611 + 4 + 9 + 42 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (61149421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12894 + ... + 16986.

It is an arithmetic number, because the mean of its divisors is an integer number (2607878).

Almost surely, 261149420 is an apocalyptic number.

61149420 is a gapful number since it is divisible by the number (60) 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 61149420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93883608).

61149420 is an abundant number, since it is smaller than the sum of its proper divisors (126617796).

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

61149420 is a wasteful number, since it uses less digits than its factorization.

61149420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4191 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 61149420 is about 7819.8094605943. The cubic root of 61149420 is about 393.9708723002.

The spelling of 61149420 in words is "sixty-one million, one hundred forty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4093 4980 7470 8186 12279 14940 16372 20465 24558 36837 40930 49116 61395 73674 81860 122790 147348 184185 245580 339719 368370 679438 736740 1019157 1358876 1698595 2038314 3057471 3397190 4076628 5095785 6114942 6794380 10191570 12229884 15287355 20383140 30574710 61149420