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70006986 = 23273172329
BaseRepresentation
bin1000010110000…
…11100011001010
311212201201112100
410023003203022
5120410210421
610540254230
71510023000
oct413034312
9155651470
1070006986
1136576315
121b541376
1311671a6a
149424a70
15622cc26
hex42c38ca

70006986 has 192 divisors, whose sum is σ = 202176000. Its totient is φ = 17385984.

The previous prime is 70006973. The next prime is 70006987. The reversal of 70006986 is 68960007.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 70006986.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70006987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2414020 + ... + 2414048.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 270006986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70006986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101088000).

70006986 is an abundant number, since it is smaller than the sum of its proper divisors (132169014).

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

70006986 is a wasteful number, since it uses less digits than its factorization.

70006986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 70006986 is about 8367.0177482781. The cubic root of 70006986 is about 412.1422396672.

The spelling of 70006986 in words is "seventy million, six thousand, nine hundred eighty-six".