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70020792 = 23328311717
BaseRepresentation
bin1000010110001…
…10111010111000
311212202102110200
410023012322320
5120411131132
610540442200
71510111152
oct413067270
9155672420
1070020792
1136585726
121b549360
131167812a
149429ad2
156231d7c
hex42c6eb8

70020792 has 48 divisors (see below), whose sum is σ = 191940840. Its totient is φ = 23057088.

The previous prime is 70020767. The next prime is 70020799. The reversal of 70020792 is 29702007.

It is a super-2 number, since 2×700207922 = 9805822624614528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70020799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118 + ... + 11834.

Almost surely, 270020792 is an apocalyptic number.

70020792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70020792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95970420).

70020792 is an abundant number, since it is smaller than the sum of its proper divisors (121920048).

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

70020792 is a wasteful number, since it uses less digits than its factorization.

70020792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11812 (or 11805 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 70020792 is about 8367.8427327478. The cubic root of 70020792 is about 412.1693305910.

Adding to 70020792 its reverse (29702007), we get a palindrome (99722799).

The spelling of 70020792 in words is "seventy million, twenty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 11717 23434 35151 46868 70302 93736 105453 140604 210906 281208 421812 843624 972511 1945022 2917533 3890044 5835066 7780088 8752599 11670132 17505198 23340264 35010396 70020792