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454000640 = 215517163
BaseRepresentation
bin11011000011111…
…000000000000000
31011122021121210112
4123003320000000
51412211010030
6113014450452
714151641012
oct3303700000
91148247715
10454000640
112132a9445
12108063a28
137309a942
14444201b2
1529ccda95
hex1b0f8000

454000640 has 128 divisors (see below), whose sum is σ = 1160755920. Its totient is φ = 169869312.

The previous prime is 454000639. The next prime is 454000699. The reversal of 454000640 is 46000454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4540006402 = 412233162240819200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2785199 + ... + 2785361.

Almost surely, 2454000640 is an apocalyptic number.

454000640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580377960).

454000640 is an abundant number, since it is smaller than the sum of its proper divisors (706755280).

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

454000640 is an equidigital number, since it uses as much as digits as its factorization.

454000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 454000640 is about 21307.2907710014. The cubic root of 454000640 is about 768.5736454919.

The spelling of 454000640 in words is "four hundred fifty-four million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 163 170 256 272 320 326 340 512 544 640 652 680 815 1024 1088 1280 1304 1360 1630 2048 2176 2560 2608 2720 2771 3260 4096 4352 5120 5216 5440 5542 6520 8192 8704 10240 10432 10880 11084 13040 13855 16384 17408 20480 20864 21760 22168 26080 27710 32768 34816 40960 41728 43520 44336 52160 55420 69632 81920 83456 87040 88672 104320 110840 139264 163840 166912 174080 177344 208640 221680 278528 333824 348160 354688 417280 443360 557056 667648 696320 709376 834560 886720 1335296 1392640 1418752 1669120 1773440 2670592 2785280 2837504 3338240 3546880 5341184 5675008 6676480 7093760 11350016 13352960 14187520 22700032 26705920 28375040 45400064 56750080 90800128 113500160 227000320 454000640