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70128040 = 2354161701
BaseRepresentation
bin1000010111000…
…01000110101000
311212221212120211
410023201012220
5120423044130
610543030504
71511035633
oct413410650
9155855524
1070128040
1136649264
121b59b434
13116b4ba8
149456c1a
156253a2a
hex42e11a8

70128040 has 64 divisors (see below), whose sum is σ = 164520720. Its totient is φ = 26880000.

The previous prime is 70128017. The next prime is 70128041. The reversal of 70128040 is 4082107.

It can be written as a sum of positive squares in 8 ways, for example, as 7496644 + 62631396 = 2738^2 + 7914^2 .

It is not an unprimeable number, because it can be changed into a prime (70128041) 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, 99690 + ... + 100390.

Almost surely, 270128040 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 70128040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82260360).

70128040 is an abundant number, since it is smaller than the sum of its proper divisors (94392680).

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

70128040 is a wasteful number, since it uses less digits than its factorization.

70128040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 70128040 is about 8374.2486230109. The cubic root of 70128040 is about 412.3796575792.

The spelling of 70128040 in words is "seventy million, one hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 61 82 122 164 205 244 305 328 410 488 610 701 820 1220 1402 1640 2440 2501 2804 3505 5002 5608 7010 10004 12505 14020 20008 25010 28040 28741 42761 50020 57482 85522 100040 114964 143705 171044 213805 229928 287410 342088 427610 574820 855220 1149640 1710440 1753201 3506402 7012804 8766005 14025608 17532010 35064020 70128040