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2970642136 = 237116137867
BaseRepresentation
bin1011000100010000…
…0110011011011000
321200000210020220211
42301010012123120
522040441022021
61210435100504
7133421020150
oct26104063330
97600706824
102970642136
111294939450
126aaa41734
133845a5917
14202763760
15125be53e1
hexb11066d8

2970642136 has 64 divisors (see below), whose sum is σ = 6956570880. Its totient is φ = 1155358080.

The previous prime is 2970642113. The next prime is 2970642137. The reversal of 2970642136 is 6312460792.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2970642137) 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 15 ways as a sum of consecutive naturals, for example, 373675 + ... + 381541.

It is an arithmetic number, because the mean of its divisors is an integer number (108696420).

It is a vampire number, since it can be written as 4720162936 (with its own digits).

Almost surely, 22970642136 is an apocalyptic number.

2970642136 is the 31468-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2970642136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478285440).

2970642136 is an abundant number, since it is smaller than the sum of its proper divisors (3985928744).

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

2970642136 is a wasteful number, since it uses less digits than its factorization.

2970642136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8504 (or 8500 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 2970642136 is about 54503.5974592503. The cubic root of 2970642136 is about 1437.5295437003.

The spelling of 2970642136 in words is "two billion, nine hundred seventy million, six hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 613 616 1226 2452 4291 4904 6743 7867 8582 13486 15734 17164 26972 31468 34328 47201 53944 55069 62936 86537 94402 110138 173074 188804 220276 346148 377608 440552 605759 692296 1211518 2423036 4822471 4846072 9644942 19289884 33757297 38579768 53047181 67514594 106094362 135029188 212188724 270058376 371330267 424377448 742660534 1485321068 2970642136