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61123520 = 265251761
BaseRepresentation
bin1110100100101…
…0101111000000
311021000101201002
43221022233000
5111121423040
610022031132
71341353453
oct351125700
9137011632
1061123520
1131559007
12185784a8
13c881483
14819149a
155575a15
hex3a4abc0

61123520 has 56 divisors (see below), whose sum is σ = 146322288. Its totient is φ = 24320000.

The previous prime is 61123507. The next prime is 61123523. The reversal of 61123520 is 2532116.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 61123492 and 61123501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61123523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79940 + ... + 80700.

It is an arithmetic number, because the mean of its divisors is an integer number (2612898).

Almost surely, 261123520 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 61123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73161144).

61123520 is an abundant number, since it is smaller than the sum of its proper divisors (85198768).

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

61123520 is a wasteful number, since it uses less digits than its factorization.

61123520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 61123520 is about 7818.1532346201. The cubic root of 61123520 is about 393.9152419740.

Adding to 61123520 its reverse (2532116), we get a palindrome (63655636).

The spelling of 61123520 in words is "sixty-one million, one hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 251 320 502 761 1004 1255 1522 2008 2510 3044 3805 4016 5020 6088 7610 8032 10040 12176 15220 16064 20080 24352 30440 40160 48704 60880 80320 121760 191011 243520 382022 764044 955055 1528088 1910110 3056176 3820220 6112352 7640440 12224704 15280880 30561760 61123520