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70190400 = 2635272089
BaseRepresentation
bin1000010111100…
…00010101000000
311220002001010110
410023300111000
5120432043100
610544231320
71511415510
oct413602500
9156061113
1070190400
11366910a5
121b60b540
13117073a7
149471840
156267250
hex42f0540

70190400 has 168 divisors, whose sum is σ = 263306560. Its totient is φ = 16035840.

The previous prime is 70190381. The next prime is 70190423. The reversal of 70190400 is 409107.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 32556 + ... + 34644.

Almost surely, 270190400 is an apocalyptic number.

70190400 is a gapful number since it is divisible by the number (70) 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 70190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131653280).

70190400 is an abundant number, since it is smaller than the sum of its proper divisors (193116160).

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

70190400 is a wasteful number, since it uses less digits than its factorization.

70190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 70190400 is about 8377.9711147747. The cubic root of 70190400 is about 412.5018549044.

Adding to 70190400 its reverse (409107), we get a palindrome (70599507).

The spelling of 70190400 in words is "seventy million, one hundred ninety thousand, four hundred".