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999000672 = 25371971511
BaseRepresentation
bin111011100010111…
…000101001100000
32120121210111021220
4323202320221200
54021221010142
6243044015040
733520236255
oct7342705140
92517714256
10999000672
11472a00a9a
1223a691480
1312bc7a377
149696b42c
155ca852ec
hex3b8b8a60

999000672 has 96 divisors (see below), whose sum is σ = 2688505344. Its totient is φ = 324710400.

The previous prime is 999000659. The next prime is 999000701. The reversal of 999000672 is 276000999.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660397 + ... + 661907.

It is an arithmetic number, because the mean of its divisors is an integer number (28005264).

Almost surely, 2999000672 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 999000672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344252672).

999000672 is an abundant number, since it is smaller than the sum of its proper divisors (1689504672).

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

999000672 is a wasteful number, since it uses less digits than its factorization.

999000672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 999000672 is about 31606.9718891260. The cubic root of 999000672 is about 999.6667796432. Note that the first 3 decimals are identical.

The spelling of 999000672 in words is "nine hundred ninety-nine million, six hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 97 142 194 213 284 291 388 426 568 582 776 852 1136 1164 1511 1552 1704 2272 2328 3022 3104 3408 4533 4656 6044 6816 6887 9066 9312 12088 13774 18132 20661 24176 27548 36264 41322 48352 55096 72528 82644 107281 110192 145056 146567 165288 214562 220384 293134 321843 330576 429124 439701 586268 643686 661152 858248 879402 1172536 1287372 1716496 1758804 2345072 2574744 3432992 3517608 4690144 5149488 7035216 10298976 10406257 14070432 20812514 31218771 41625028 62437542 83250056 124875084 166500112 249750168 333000224 499500336 999000672