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69045680 = 24511312531
BaseRepresentation
bin1000001110110…
…00110110110000
311210220212212102
410013120312300
5120133430210
610503515532
71465610234
oct407306660
9153825772
1069045680
1135a7a050
121b158ba8
13113c6342
1492545c4
1560dcea5
hex41d8db0

69045680 has 80 divisors (see below), whose sum is σ = 180845568. Its totient is φ = 24288000.

The previous prime is 69045631. The next prime is 69045703. The reversal of 69045680 is 8654096.

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

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, 26015 + ... + 28545.

Almost surely, 269045680 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 69045680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90422784).

69045680 is an abundant number, since it is smaller than the sum of its proper divisors (111799888).

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

69045680 is a wasteful number, since it uses less digits than its factorization.

69045680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 69045680 is about 8309.3730208723. The cubic root of 69045680 is about 410.2470848548.

The spelling of 69045680 in words is "sixty-nine million, forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2531 2728 3410 5062 5456 6820 10124 12655 13640 20248 25310 27280 27841 40496 50620 55682 78461 101240 111364 139205 156922 202480 222728 278410 313844 392305 445456 556820 627688 784610 863071 1113640 1255376 1569220 1726142 2227280 3138440 3452284 4315355 6276880 6904568 8630710 13809136 17261420 34522840 69045680