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745690968 = 2333111571999
BaseRepresentation
bin101100011100100…
…101011101011000
31220222011000201000
4230130211131120
53011344102333
6201554425000
724323161101
oct5434453530
91828130630
10745690968
11352a17730
12189892160
13bb649379
147106d3a8
15456ea713
hex2c725758

745690968 has 128 divisors (see below), whose sum is σ = 2275200000. Its totient is φ = 224415360.

The previous prime is 745690943. The next prime is 745690969. The reversal of 745690968 is 869096547.

745690968 is a `hidden beast` number, since 74 + 569 + 0 + 9 + 6 + 8 = 666.

745690968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745690969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372033 + ... + 374031.

It is an arithmetic number, because the mean of its divisors is an integer number (17775000).

Almost surely, 2745690968 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 745690968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137600000).

745690968 is an abundant number, since it is smaller than the sum of its proper divisors (1529509032).

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

745690968 is a wasteful number, since it uses less digits than its factorization.

745690968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 745690968 is about 27307.3427487919. The cubic root of 745690968 is about 906.8169465671.

The spelling of 745690968 in words is "seven hundred forty-five million, six hundred ninety thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 157 198 216 264 297 314 396 471 594 628 792 942 1188 1256 1413 1727 1884 1999 2376 2826 3454 3768 3998 4239 5181 5652 5997 6908 7996 8478 10362 11304 11994 13816 15543 15992 16956 17991 20724 21989 23988 31086 33912 35982 41448 43978 46629 47976 53973 62172 65967 71964 87956 93258 107946 124344 131934 143928 175912 186516 197901 215892 263868 313843 373032 395802 431784 527736 593703 627686 791604 941529 1187406 1255372 1583208 1883058 2374812 2510744 2824587 3452273 3766116 4749624 5649174 6904546 7532232 8473761 10356819 11298348 13809092 16947522 20713638 22596696 27618184 31070457 33895044 41427276 62140914 67790088 82854552 93211371 124281828 186422742 248563656 372845484 745690968