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61419960 = 23325724373
BaseRepresentation
bin1110101001001…
…1000110111000
311021120110100100
43222103012320
5111210414320
610032235400
71344026640
oct352230670
9137513310
1061419960
11317407a8
121869bb60
13c956394
14822b520
1555d3790
hex3a931b8

61419960 has 96 divisors (see below), whose sum is σ = 228140640. Its totient is φ = 14038272.

The previous prime is 61419949. The next prime is 61419973. The reversal of 61419960 is 6991416.

61419960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×614199602 = 7544822972803200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 9667 + ... + 14706.

It is an arithmetic number, because the mean of its divisors is an integer number (2376465).

Almost surely, 261419960 is an apocalyptic number.

61419960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61419960 is an abundant number, since it is smaller than the sum of its proper divisors (166720680).

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

61419960 is a wasteful number, since it uses less digits than its factorization.

61419960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24397 (or 24390 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 61419960 is about 7837.0887451910. The cubic root of 61419960 is about 394.5510254134.

The spelling of 61419960 in words is "sixty-one million, four hundred nineteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 24373 48746 73119 97492 121865 146238 170611 194984 219357 243730 292476 341222 365595 438714 487460 511833 584952 682444 731190 853055 877428 974920 1023666 1096785 1364888 1462380 1535499 1706110 1754856 2047332 2193570 2559165 2924760 3070998 3412220 4094664 4387140 5118330 6141996 6824440 7677495 8774280 10236660 12283992 15354990 20473320 30709980 61419960