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69140640 = 2535294967
BaseRepresentation
bin1000001111100…
…00000010100000
311211002201010110
410013300002200
5120200000030
610505531320
71466454132
oct407600240
9154081113
1069140640
1136034428
121b1a3b40
131142a62a
14927b052
15610b1b0
hex41f00a0

69140640 has 96 divisors (see below), whose sum is σ = 225348480. Its totient is φ = 17798144.

The previous prime is 69140627. The next prime is 69140641. The reversal of 69140640 is 4604196.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 69140598 and 69140607.

It is not an unprimeable number, because it can be changed into a prime (69140641) 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, 11437 + ... + 16403.

It is an arithmetic number, because the mean of its divisors is an integer number (2347380).

Almost surely, 269140640 is an apocalyptic number.

69140640 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 69140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112674240).

69140640 is an abundant number, since it is smaller than the sum of its proper divisors (156207840).

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

69140640 is a wasteful number, since it uses less digits than its factorization.

69140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 69140640 is about 8315.0850867565. The cubic root of 69140640 is about 410.4350725624.

The spelling of 69140640 in words is "sixty-nine million, one hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 4967 6960 9934 13920 14901 19868 24835 29802 39736 49670 59604 74505 79472 99340 119208 144043 149010 158944 198680 238416 288086 298020 397360 432129 476832 576172 596040 720215 794720 864258 1152344 1192080 1440430 1728516 2160645 2304688 2384160 2880860 3457032 4321290 4609376 5761720 6914064 8642580 11523440 13828128 17285160 23046880 34570320 69140640