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70529680 = 2451373929
BaseRepresentation
bin1000011010000…
…11001010010000
311220201021112101
410031003022100
5121023422210
610555410144
71514330614
oct415031220
9156637471
1070529680
11368a2aa1
121b753954
13117c5950
14951d344
1562d2a3a
hex4343290

70529680 has 80 divisors (see below), whose sum is σ = 179207280. Its totient is φ = 25657344.

The previous prime is 70529677. The next prime is 70529687. The reversal of 70529680 is 8692507.

It can be written as a sum of positive squares in 8 ways, for example, as 19607184 + 50922496 = 4428^2 + 7136^2 .

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

It is not an unprimeable number, because it can be changed into a prime (70529687) 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, 75456 + ... + 76384.

It is an arithmetic number, because the mean of its divisors is an integer number (2240091).

Almost surely, 270529680 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 70529680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89603640).

70529680 is an abundant number, since it is smaller than the sum of its proper divisors (108677600).

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

70529680 is a wasteful number, since it uses less digits than its factorization.

70529680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 70529680 is about 8398.1950441747. The cubic root of 70529680 is about 413.1654249204.

The spelling of 70529680 in words is "seventy million, five hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 73 80 104 130 146 208 260 292 365 520 584 730 929 949 1040 1168 1460 1858 1898 2920 3716 3796 4645 4745 5840 7432 7592 9290 9490 12077 14864 15184 18580 18980 24154 37160 37960 48308 60385 67817 74320 75920 96616 120770 135634 193232 241540 271268 339085 483080 542536 678170 881621 966160 1085072 1356340 1763242 2712680 3526484 4408105 5425360 7052968 8816210 14105936 17632420 35264840 70529680