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145663104 = 2731392729
BaseRepresentation
bin10001010111010…
…10010010000000
3101011002110012210
420223222102000
5244242204404
622242022120
73416054526
oct1053522200
9334073183
10145663104
117524a934
1240947940
1324240bb2
14154ba316
15cbc4689
hex8aea480

145663104 has 64 divisors (see below), whose sum is σ = 389844000. Its totient is φ = 48187392.

The previous prime is 145663099. The next prime is 145663121. The reversal of 145663104 is 401366541.

It is a tau number, because it is divible by the number of its divisors (64).

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, 52012 + ... + 54740.

Almost surely, 2145663104 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 145663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194922000).

145663104 is an abundant number, since it is smaller than the sum of its proper divisors (244180896).

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

145663104 is a wasteful number, since it uses less digits than its factorization.

145663104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 145663104 is about 12069.0970664752. The cubic root of 145663104 is about 526.1584144100.

The spelling of 145663104 in words is "one hundred forty-five million, six hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 278 384 417 556 834 1112 1668 2224 2729 3336 4448 5458 6672 8187 8896 10916 13344 16374 17792 21832 26688 32748 43664 53376 65496 87328 130992 174656 261984 349312 379331 523968 758662 1047936 1137993 1517324 2275986 3034648 4551972 6069296 9103944 12138592 18207888 24277184 36415776 48554368 72831552 145663104