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70312500 = 223259
BaseRepresentation
bin1000011000011…
…10001000110100
311220022020121200
410030032020310
5121000000000
610551012500
71512434466
oct414161064
9156266550
1070312500
1136764905
121b66a130
131174ab3b
1494a4136
15628d500
hex430e234

70312500 has 90 divisors (see below), whose sum is σ = 222167946. Its totient is φ = 18750000.

The previous prime is 70312481. The next prime is 70312513. The reversal of 70312500 is 521307.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 18558864 + 51753636 = 4308^2 + 7194^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14062498 + ... + 14062502.

Almost surely, 270312500 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 70312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111083973).

70312500 is an abundant number, since it is smaller than the sum of its proper divisors (151855446).

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

70312500 is an frugal number, since it uses more digits than its factorization.

70312500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 70312500 is about 8385.2549156242. The cubic root of 70312500 is about 412.7409061118.

Adding to 70312500 its reverse (521307), we get a palindrome (70833807).

It can be divided in two parts, 703 and 12500, that added together give a triangular number (13203 = T162).

The spelling of 70312500 in words is "seventy million, three hundred twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3125 3750 4500 5625 6250 7500 9375 11250 12500 15625 18750 22500 28125 31250 37500 46875 56250 62500 78125 93750 112500 140625 156250 187500 234375 281250 312500 390625 468750 562500 703125 781250 937500 1171875 1406250 1562500 1953125 2343750 2812500 3515625 3906250 4687500 5859375 7031250 7812500 11718750 14062500 17578125 23437500 35156250 70312500