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59990640 = 24351811381
BaseRepresentation
bin1110010011011…
…0001001110000
311011212211200120
43210312021300
5110324200030
65541450240
71325624553
oct344661160
9134784616
1059990640
1130954946
1218110980
13c575928
147d7869a
155400010
hex3936270

59990640 has 80 divisors (see below), whose sum is σ = 187133856. Its totient is φ = 15897600.

The previous prime is 59990629. The next prime is 59990641. The reversal of 59990640 is 4609995.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 59990592 and 59990601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59990641) 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, 42750 + ... + 44130.

Almost surely, 259990640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59990640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93566928).

59990640 is an abundant number, since it is smaller than the sum of its proper divisors (127143216).

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

59990640 is a wasteful number, since it uses less digits than its factorization.

59990640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 59990640 is about 7745.3624834478. The cubic root of 59990640 is about 391.4664057465.

The spelling of 59990640 in words is "fifty-nine million, nine hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 362 543 724 905 1086 1381 1448 1810 2172 2715 2762 2896 3620 4143 4344 5430 5524 6905 7240 8286 8688 10860 11048 13810 14480 16572 20715 21720 22096 27620 33144 41430 43440 55240 66288 82860 110480 165720 249961 331440 499922 749883 999844 1249805 1499766 1999688 2499610 2999532 3749415 3999376 4999220 5999064 7498830 9998440 11998128 14997660 19996880 29995320 59990640