Search a number
-
+
999000975 = 352722353223
BaseRepresentation
bin111011100010111…
…000101110001111
32120121210111201010
4323202320232033
54021221012400
6243044020303
733520240200
oct7342705617
92517714633
10999000975
11472a01245
1223a691693
1312bc7a54b
149696b5a7
155ca85450
hex3b8b8b8f

999000975 has 144 divisors (see below), whose sum is σ = 2051868672. Its totient is φ = 426666240.

The previous prime is 999000967. The next prime is 999000991. The reversal of 999000975 is 579000999.

It is not a de Polignac number, because 999000975 - 23 = 999000967 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4479714 + ... + 4479936.

It is an arithmetic number, because the mean of its divisors is an integer number (14249088).

Almost surely, 2999000975 is an apocalyptic number.

999000975 is an abundant number, since it is smaller than the sum of its proper divisors (1052867697).

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

999000975 is a wasteful number, since it uses less digits than its factorization.

999000975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 229635, while the sum is 48.

The square root of 999000975 is about 31606.9766823719. The cubic root of 999000975 is about 999.6668807105. Note that the first 3 decimals are identical.

The spelling of 999000975 in words is "nine hundred ninety-nine million, nine hundred seventy-five", and thus it is an aban number.

Divisors: 1 3 5 7 15 21 23 25 35 49 53 69 75 105 115 147 159 161 175 223 245 265 345 371 483 525 575 669 735 795 805 1113 1115 1127 1219 1225 1325 1561 1725 1855 2415 2597 3345 3381 3657 3675 3975 4025 4683 5129 5565 5575 5635 6095 7791 7805 8533 9275 10927 11819 12075 12985 15387 16725 16905 18285 23415 25599 25645 27825 28175 30475 32781 35457 35903 38955 39025 42665 54635 59095 59731 64925 76935 82733 84525 91425 107709 117075 127995 128225 163905 177285 179193 179515 194775 213325 248199 251321 271837 273175 295475 298655 384675 413665 538545 579131 639975 753963 815511 819525 886425 895965 897575 1240995 1256605 1359185 1493275 1737393 1902859 2068325 2692725 2895655 3769815 4077555 4479825 5708577 6204975 6283025 6795925 8686965 9514295 13320013 14478275 18849075 20387775 28542885 39960039 43434825 47571475 66600065 142714425 199800195 333000325 999000975