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61100520 = 23351353739
BaseRepresentation
bin1110100100010…
…1000111101000
311020222020011020
43221011013220
5111120204040
610021332440
71341226425
oct351050750
9136866136
1061100520
11315427a8
1218567120
13c873b70
148186d4c
15556dcd0
hex3a451e8

61100520 has 128 divisors (see below), whose sum is σ = 201398400. Its totient is φ = 14736384.

The previous prime is 61100509. The next prime is 61100539. The reversal of 61100520 is 2500116.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 61100520.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82311 + ... + 83049.

It is an arithmetic number, because the mean of its divisors is an integer number (1573425).

Almost surely, 261100520 is an apocalyptic number.

61100520 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 61100520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100699200).

61100520 is an abundant number, since it is smaller than the sum of its proper divisors (140297880).

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

61100520 is a wasteful number, since it uses less digits than its factorization.

61100520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 61100520 is about 7816.6821606101. The cubic root of 61100520 is about 393.8658273504.

Adding to 61100520 its reverse (2500116), we get a palindrome (63600636).

The spelling of 61100520 in words is "sixty-one million, one hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 53 60 65 78 104 106 120 130 156 159 195 212 260 265 312 318 390 424 520 530 636 689 739 780 795 1060 1272 1378 1478 1560 1590 2067 2120 2217 2756 2956 3180 3445 3695 4134 4434 5512 5912 6360 6890 7390 8268 8868 9607 10335 11085 13780 14780 16536 17736 19214 20670 22170 27560 28821 29560 38428 39167 41340 44340 48035 57642 76856 78334 82680 88680 96070 115284 117501 144105 156668 192140 195835 230568 235002 288210 313336 384280 391670 470004 509171 576420 587505 783340 940008 1018342 1152840 1175010 1527513 1566680 2036684 2350020 2545855 3055026 4073368 4700040 5091710 6110052 7637565 10183420 12220104 15275130 20366840 30550260 61100520