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61255680 = 21235997
BaseRepresentation
bin1110100110101…
…1000000000000
311021021002222220
43221223000000
5111140140210
610024531040
71342443663
oct351530000
9137232886
1061255680
1131639332
1218620a80
13c8c9685
1481c76da
15559ec70
hex3a6b000

61255680 has 104 divisors (see below), whose sum is σ = 196190832. Its totient is φ = 16318464.

The previous prime is 61255673. The next prime is 61255697. The reversal of 61255680 is 8655216.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60942 + ... + 61938.

Almost surely, 261255680 is an apocalyptic number.

61255680 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 61255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98095416).

61255680 is an abundant number, since it is smaller than the sum of its proper divisors (134935152).

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

61255680 is an equidigital number, since it uses as much as digits as its factorization.

61255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 61255680 is about 7826.6007947256. The cubic root of 61255680 is about 394.1989427081.

The spelling of 61255680 in words is "sixty-one million, two hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 997 1024 1280 1536 1920 1994 2048 2560 2991 3072 3840 3988 4096 4985 5120 5982 6144 7680 7976 9970 10240 11964 12288 14955 15360 15952 19940 20480 23928 29910 30720 31904 39880 47856 59820 61440 63808 79760 95712 119640 127616 159520 191424 239280 255232 319040 382848 478560 510464 638080 765696 957120 1020928 1276160 1531392 1914240 2041856 2552320 3062784 3828480 4083712 5104640 6125568 7656960 10209280 12251136 15313920 20418560 30627840 61255680