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61990080 = 2635312083
BaseRepresentation
bin1110110001111…
…0010011000000
311022122102101220
43230132103000
5111332140310
610052355040
71351623045
oct354362300
9138572356
1061990080
1131aa0079
1218915a80
13cac5a29
1483391cc
155697670
hex3b1e4c0

61990080 has 112 divisors (see below), whose sum is σ = 203265024. Its totient is φ = 15989760.

The previous prime is 61990079. The next prime is 61990087. The reversal of 61990080 is 8009916.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (61990087) 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, 28719 + ... + 30801.

Almost surely, 261990080 is an apocalyptic number.

61990080 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 61990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101632512).

61990080 is an abundant number, since it is smaller than the sum of its proper divisors (141274944).

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

61990080 is a wasteful number, since it uses less digits than its factorization.

61990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 61990080 is about 7873.3779281830. The cubic root of 61990080 is about 395.7680510869.

Adding to 61990080 its reverse (8009916), we get a palindrome (69999996).

The spelling of 61990080 in words is "sixty-one million, nine hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2083 2480 2976 3720 4166 4960 5952 6249 7440 8332 9920 10415 12498 14880 16664 20830 24996 29760 31245 33328 41660 49992 62490 64573 66656 83320 99984 124980 129146 133312 166640 193719 199968 249960 258292 322865 333280 387438 399936 499920 516584 645730 666560 774876 968595 999840 1033168 1291460 1549752 1937190 1999680 2066336 2582920 3099504 3874380 4132672 5165840 6199008 7748760 10331680 12398016 15497520 20663360 30995040 61990080