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1407123220 = 225149472189
BaseRepresentation
bin101001111011110…
…1111111100010100
310122001202021011211
41103313233330110
510340210420340
6351343311204
746604231026
oct12367577424
93561667154
101407123220
11662314558
123332ab504
131956a3ab9
14d4c48016
15838005ea
hex53deff14

1407123220 has 24 divisors (see below), whose sum is σ = 2974797000. Its totient is φ = 559070592.

The previous prime is 1407123217. The next prime is 1407123257. The reversal of 1407123220 is 223217041.

It can be written as a sum of positive squares in 4 ways, for example, as 24324624 + 1382798596 = 4932^2 + 37186^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1407123191 and 1407123200.

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, 233115 + ... + 239074.

It is an arithmetic number, because the mean of its divisors is an integer number (123949875).

Almost surely, 21407123220 is an apocalyptic number.

1407123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1407123220 is an abundant number, since it is smaller than the sum of its proper divisors (1567673780).

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

1407123220 is a wasteful number, since it uses less digits than its factorization.

1407123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472347 (or 472345 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 1407123220 is about 37511.6411264557. The cubic root of 1407123220 is about 1120.5830350864.

The spelling of 1407123220 in words is "one billion, four hundred seven million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 472189 944378 1888756 2360945 4721890 9443780 70356161 140712322 281424644 351780805 703561610 1407123220