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64688880 = 24352311719
BaseRepresentation
bin1111011011000…
…1001011110000
311111201112110110
43312301023300
5113030021010
610230301320
71413563214
oct366611360
9144645413
1064688880
1133573793
12197b7840
131052c259
14883c944
155a2c120
hex3db12f0

64688880 has 80 divisors (see below), whose sum is σ = 209272320. Its totient is φ = 16498944.

The previous prime is 64688843. The next prime is 64688917. The reversal of 64688880 is 8888646.

It is an interprime number because it is at equal distance from previous prime (64688843) and next prime (64688917).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340 + ... + 11379.

It is an arithmetic number, because the mean of its divisors is an integer number (2615904).

Almost surely, 264688880 is an apocalyptic number.

64688880 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 64688880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104636160).

64688880 is an abundant number, since it is smaller than the sum of its proper divisors (144583440).

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

64688880 is a wasteful number, since it uses less digits than its factorization.

64688880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11758 (or 11752 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 64688880 is about 8042.9397610575. The cubic root of 64688880 is about 401.4300479809.

The spelling of 64688880 in words is "sixty-four million, six hundred eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 11719 23438 35157 46876 58595 70314 93752 117190 140628 175785 187504 234380 269537 281256 351570 468760 539074 562512 703140 808611 937520 1078148 1347685 1406280 1617222 2156296 2695370 2812560 3234444 4043055 4312592 5390740 6468888 8086110 10781480 12937776 16172220 21562960 32344440 64688880