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68401152 = 211331237
BaseRepresentation
bin1000001001110…
…11100000000000
311202201010202000
410010323200000
5120002314102
610442024000
71460254161
oct404734000
9152633660
1068401152
1135679886
121aaa8000
131122bb71
149127768
15601201c
hex413b800

68401152 has 96 divisors (see below), whose sum is σ = 202784400. Its totient is φ = 22781952.

The previous prime is 68401147. The next prime is 68401181. The reversal of 68401152 is 25110486.

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 (27).

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, 54678 + ... + 55914.

Almost surely, 268401152 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 68401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101392200).

68401152 is an abundant number, since it is smaller than the sum of its proper divisors (134383248).

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

68401152 is a wasteful number, since it uses less digits than its factorization.

68401152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 68401152 is about 8270.4988966809. The cubic root of 68401152 is about 408.9665664929.

The spelling of 68401152 in words is "sixty-eight million, four hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1237 1536 1728 2048 2304 2474 3072 3456 3711 4608 4948 6144 6912 7422 9216 9896 11133 13824 14844 18432 19792 22266 27648 29688 33399 39584 44532 55296 59376 66798 79168 89064 118752 133596 158336 178128 237504 267192 316672 356256 475008 534384 633344 712512 950016 1068768 1266688 1425024 1900032 2137536 2533376 2850048 3800064 4275072 5700096 7600128 8550144 11400192 17100288 22800384 34200576 68401152