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61357400 = 23521323599
BaseRepresentation
bin1110101000001…
…1110101011000
311021110021112022
43222003311120
5111201414100
610031034012
71343346356
oct352036530
9137407468
1061357400
11316a87a5
121866b908
13c933a70
1482127d6
1555bee85
hex3a83d58

61357400 has 48 divisors (see below), whose sum is σ = 153636000. Its totient is φ = 22654080.

The previous prime is 61357397. The next prime is 61357421. The reversal of 61357400 is 475316.

61357400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 61357400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9200 + ... + 14399.

It is an arithmetic number, because the mean of its divisors is an integer number (3200750).

Almost surely, 261357400 is an apocalyptic number.

It is an amenable number.

61357400 is an abundant number, since it is smaller than the sum of its proper divisors (92278600).

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

61357400 is a wasteful number, since it uses less digits than its factorization.

61357400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23628 (or 23619 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 61357400 is about 7833.0964503190. The cubic root of 61357400 is about 394.4170217588.

The spelling of 61357400 in words is "sixty-one million, three hundred fifty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 23599 47198 94396 117995 188792 235990 306787 471980 589975 613574 943960 1179950 1227148 1533935 2359900 2454296 3067870 4719800 6135740 7669675 12271480 15339350 30678700 61357400