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61425120 = 2535731753
BaseRepresentation
bin1110101001010…
…0010111100000
311021120201102110
43222110113200
5111211100440
610032315320
71344050661
oct352242740
9137521373
1061425120
1131744669
12186a2b40
13c958833
14822d368
1555d5080
hex3a945e0

61425120 has 96 divisors (see below), whose sum is σ = 196251552. Its totient is φ = 16146432.

The previous prime is 61425071. The next prime is 61425121. The reversal of 61425120 is 2152416.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61425121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34164 + ... + 35916.

It is an arithmetic number, because the mean of its divisors is an integer number (2044287).

Almost surely, 261425120 is an apocalyptic number.

61425120 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 61425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98125776).

61425120 is an abundant number, since it is smaller than the sum of its proper divisors (134826432).

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

61425120 is a wasteful number, since it uses less digits than its factorization.

61425120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 61425120 is about 7837.4179421542. The cubic root of 61425120 is about 394.5620740816.

Adding to 61425120 its reverse (2152416), we get a palindrome (63577536).

The spelling of 61425120 in words is "sixty-one million, four hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 73 80 96 120 146 160 219 240 292 365 438 480 584 730 876 1095 1168 1460 1752 1753 2190 2336 2920 3504 3506 4380 5259 5840 7008 7012 8760 8765 10518 11680 14024 17520 17530 21036 26295 28048 35040 35060 42072 52590 56096 70120 84144 105180 127969 140240 168288 210360 255938 280480 383907 420720 511876 639845 767814 841440 1023752 1279690 1535628 1919535 2047504 2559380 3071256 3839070 4095008 5118760 6142512 7678140 10237520 12285024 15356280 20475040 30712560 61425120