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75378690 = 23251794679
BaseRepresentation
bin1000111111000…
…11000000000010
312020211122010100
410133203000002
5123244104230
611251343230
71603464642
oct437430002
9166748110
1075378690
1139605142
12212b1b16
1312802a9a
14a022522
15693e660
hex47e3002

75378690 has 48 divisors (see below), whose sum is σ = 197121600. Its totient is φ = 19984416.

The previous prime is 75378679. The next prime is 75378707. The reversal of 75378690 is 9687357.

It is a happy number.

It is a super-2 number, since 2×753786902 = 11363893812232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13771 + ... + 18449.

It is an arithmetic number, because the mean of its divisors is an integer number (4106700).

Almost surely, 275378690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75378690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98560800).

75378690 is an abundant number, since it is smaller than the sum of its proper divisors (121742910).

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

75378690 is a wasteful number, since it uses less digits than its factorization.

75378690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4871 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 75378690 is about 8682.0901861245. The cubic root of 75378690 is about 422.4249180914.

The spelling of 75378690 in words is "seventy-five million, three hundred seventy-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 358 537 895 1074 1611 1790 2685 3222 4679 5370 8055 9358 14037 16110 23395 28074 42111 46790 70185 84222 140370 210555 421110 837541 1675082 2512623 4187705 5025246 7537869 8375410 12563115 15075738 25126230 37689345 75378690