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690912768 = 2937134943
BaseRepresentation
bin101001001011100…
…111111000000000
31210011002000010210
4221023213320000
52403333202033
6152320354120
723056442640
oct5113477000
91704060123
10690912768
11325002a97
12173475940
13b01aa130
1467a90520
15409c9d63
hex292e7e00

690912768 has 160 divisors (see below), whose sum is σ = 2265854976. Its totient is φ = 182181888.

The previous prime is 690912763. The next prime is 690912829. The reversal of 690912768 is 867219096.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690912763) 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, 137305 + ... + 142247.

Almost surely, 2690912768 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 690912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132927488).

690912768 is an abundant number, since it is smaller than the sum of its proper divisors (1574942208).

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

690912768 is a wasteful number, since it uses less digits than its factorization.

690912768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 690912768 is about 26285.2195729844. The cubic root of 690912768 is about 884.0450691244.

The spelling of 690912768 in words is "six hundred ninety million, nine hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 512 546 624 672 728 768 832 896 1092 1248 1344 1456 1536 1664 1792 2184 2496 2688 2912 3328 3584 4368 4943 4992 5376 5824 6656 8736 9886 9984 10752 11648 14829 17472 19772 19968 23296 29658 34601 34944 39544 46592 59316 64259 69202 69888 79088 103803 118632 128518 138404 139776 158176 192777 207606 237264 257036 276808 316352 385554 415212 449813 474528 514072 553616 632704 771108 830424 899626 949056 1028144 1107232 1265408 1349439 1542216 1660848 1799252 1898112 2056288 2214464 2530816 2698878 3084432 3321696 3598504 3796224 4112576 4428928 5397756 6168864 6643392 7197008 7592448 8225152 8857856 10795512 12337728 13286784 14394016 16450304 17715712 21591024 24675456 26573568 28788032 32900608 43182048 49350912 53147136 57576064 86364096 98701824 115152128 172728192 230304256 345456384 690912768