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681733152 = 25333125453
BaseRepresentation
bin101000101000100…
…110110000100000
31202111210122002000
4220220212300200
52344010430102
6151351524000
722615431132
oct5050466040
91674718060
10681733152
1131a903231
12170389600
13ab314ac9
1466781052
153ecb501c
hex28a26c20

681733152 has 96 divisors (see below), whose sum is σ = 2052610560. Its totient is φ = 219905280.

The previous prime is 681733127. The next prime is 681733163. The reversal of 681733152 is 251337186.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14058 + ... + 39510.

It is an arithmetic number, because the mean of its divisors is an integer number (21381360).

Almost surely, 2681733152 is an apocalyptic number.

681733152 is a gapful number since it is divisible by the number (62) 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 681733152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026305280).

681733152 is an abundant number, since it is smaller than the sum of its proper divisors (1370877408).

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

681733152 is a wasteful number, since it uses less digits than its factorization.

681733152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25503 (or 25489 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 681733152 is about 26110.0201455303. The cubic root of 681733152 is about 880.1123961122.

The spelling of 681733152 in words is "six hundred eighty-one million, seven hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 25453 26784 50906 76359 101812 152718 203624 229077 305436 407248 458154 610872 687231 789043 814496 916308 1221744 1374462 1578086 1832616 2367129 2443488 2748924 3156172 3665232 4734258 5497848 6312344 7101387 7330464 9468516 10995696 12624688 14202774 18937032 21304161 21991392 25249376 28405548 37874064 42608322 56811096 75748128 85216644 113622192 170433288 227244384 340866576 681733152