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10073700 = 22335271341
BaseRepresentation
bin100110011011…
…011001100100
3200221210112000
4212123121210
510034324300
6555525300
7151424250
oct46333144
920853460
1010073700
11576057a
123459830
132119290
1414a3260
15d3ec00
hex99b664

10073700 has 288 divisors, whose sum is σ = 40830720. Its totient is φ = 2073600.

The previous prime is 10073683. The next prime is 10073711. The reversal of 10073700 is 737001.

10073700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245680 + ... + 245720.

Almost surely, 210073700 is an apocalyptic number.

10073700 is a gapful number since it is divisible by the number (10) 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 10073700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20415360).

10073700 is an abundant number, since it is smaller than the sum of its proper divisors (30757020).

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

10073700 is a wasteful number, since it uses less digits than its factorization.

10073700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 10073700 is about 3173.9092614629. The cubic root of 10073700 is about 215.9714468430.

The spelling of 10073700 in words is "ten million, seventy-three thousand, seven hundred".