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75704740 = 225171911719
BaseRepresentation
bin1001000001100…
…10100110100100
312021110012101021
410200302212210
5123340022430
611302340524
71606323346
oct440624644
9167405337
1075704740
1139808101
122142a744
13128b8307
14a0a9296
1569a607a
hex48329a4

75704740 has 48 divisors (see below), whose sum is σ = 177206400. Its totient is φ = 26998272.

The previous prime is 75704687. The next prime is 75704743. The reversal of 75704740 is 4740757.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 75704696 and 75704705.

It is not an unprimeable number, because it can be changed into a prime (75704743) 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, 601 + ... + 12319.

It is an arithmetic number, because the mean of its divisors is an integer number (3691800).

Almost surely, 275704740 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 75704740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88603200).

75704740 is an abundant number, since it is smaller than the sum of its proper divisors (101501660).

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

75704740 is a wasteful number, since it uses less digits than its factorization.

75704740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11764 (or 11762 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 34.

The square root of 75704740 is about 8700.8470851981. The cubic root of 75704740 is about 423.0331073760.

The spelling of 75704740 in words is "seventy-five million, seven hundred four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 3230 6460 11719 23438 46876 58595 117190 199223 222661 234380 398446 445322 796892 890644 996115 1113305 1992230 2226610 3785237 3984460 4453220 7570474 15140948 18926185 37852370 75704740