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920129364 = 2232711331937
BaseRepresentation
bin110110110110000…
…000111101010100
32101010101102012100
4312312000331110
53341023114424
6231145322100
731541653620
oct6666007524
92333342170
10920129364
114324308a0
12218196330
1311882395b
148a2ba180
1555ba5dc9
hex36d80f54

920129364 has 72 divisors (see below), whose sum is σ = 2899810368. Its totient is φ = 238993920.

The previous prime is 920129341. The next prime is 920129377. The reversal of 920129364 is 463921029.

920129364 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163197 + ... + 168740.

It is an arithmetic number, because the mean of its divisors is an integer number (40275144).

Almost surely, 2920129364 is an apocalyptic number.

It is an amenable number.

920129364 is an abundant number, since it is smaller than the sum of its proper divisors (1979681004).

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

920129364 is a wasteful number, since it uses less digits than its factorization.

920129364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331965 (or 331960 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 920129364 is about 30333.6342036361. The cubic root of 920129364 is about 972.6344103073.

The spelling of 920129364 in words is "nine hundred twenty million, one hundred twenty-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 331937 663874 995811 1327748 1991622 2323559 2987433 3651307 3983244 4647118 5974866 6970677 7302614 9294236 10953921 11949732 13941354 14605228 20912031 21907842 25559149 27882708 32861763 41824062 43815684 51118298 65723526 76677447 83648124 102236596 131447052 153354894 230032341 306709788 460064682 920129364