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855008640 = 27325148439
BaseRepresentation
bin110010111101100…
…110010110000000
32012120211221100200
4302331212112000
53222340234030
6220501445200
730121311363
oct6275462600
92176757320
10855008640
113a96a2712
121ba410800
131081a2c95
14817a80da
15500e0d60
hex32f66580

855008640 has 96 divisors (see below), whose sum is σ = 2952471600. Its totient is φ = 228000768.

The previous prime is 855008611. The next prime is 855008701. The reversal of 855008640 is 46800558.

It is a happy number.

855008640 is a `hidden beast` number, since 8 + 5 + 5 + 0 + 0 + 8 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 855008595 and 855008604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68460 + ... + 79979.

Almost surely, 2855008640 is an apocalyptic number.

855008640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

855008640 is an abundant number, since it is smaller than the sum of its proper divisors (2097462960).

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

855008640 is a wasteful number, since it uses less digits than its factorization.

855008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148464 (or 148449 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 855008640 is about 29240.5307749364. The cubic root of 855008640 is about 949.1251928347.

The spelling of 855008640 in words is "eight hundred fifty-five million, eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 148439 296878 445317 593756 742195 890634 1187512 1335951 1484390 1781268 2226585 2375024 2671902 2968780 3562536 4453170 4750048 5343804 5937560 6679755 7125072 8906340 9500096 10687608 11875120 13359510 14250144 17812680 19000192 21375216 23750240 26719020 28500288 35625360 42750432 47500480 53438040 57000576 71250720 85500864 95000960 106876080 142501440 171001728 213752160 285002880 427504320 855008640