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690077136 = 24373795419
BaseRepresentation
bin101001001000011…
…011110111010000
31210002111112212110
4221020123313100
52403124432021
6152250425320
723046362460
oct5110336720
91702445773
10690077136
11324592191
12173132240
13acc76988
1467913ba0
15408b2476
hex2921bdd0

690077136 has 80 divisors (see below), whose sum is σ = 2043123200. Its totient is φ = 196608384.

The previous prime is 690077111. The next prime is 690077137. The reversal of 690077136 is 631770096.

It is a junction number, because it is equal to n+sod(n) for n = 690077094 and 690077103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690077137) 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, 124635 + ... + 130053.

It is an arithmetic number, because the mean of its divisors is an integer number (25539040).

Almost surely, 2690077136 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 690077136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021561600).

690077136 is an abundant number, since it is smaller than the sum of its proper divisors (1353046064).

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

690077136 is a wasteful number, since it uses less digits than its factorization.

690077136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5816 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 690077136 is about 26269.3192907620. The cubic root of 690077136 is about 883.6885193505.

The spelling of 690077136 in words is "six hundred ninety million, seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 379 758 1137 1516 2274 2653 3032 4548 5306 5419 6064 7959 9096 10612 10838 15918 16257 18192 21224 21676 31836 32514 37933 42448 43352 63672 65028 75866 86704 113799 127344 130056 151732 227598 260112 303464 455196 606928 910392 1820784 2053801 4107602 6161403 8215204 12322806 14376607 16430408 24645612 28753214 32860816 43129821 49291224 57506428 86259642 98582448 115012856 172519284 230025712 345038568 690077136