13421700 has 90 divisors (see below), whose sum is σ = 43534106. Its totient is φ = 3576960.

The previous prime is 13421689. The next prime is 13421711. The reversal of 13421700 is 712431.

It is an interprime number because it is at equal distance from previous prime (13421689) and next prime (13421711).

It can be written as a sum of positive squares in 3 ways, for example, as 331776 + 13089924 = 576^2 + 3618^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7272 + ... + 8928.

Almost surely, 2^13421700 is an apocalyptic number.

13421700 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 13421700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21767053).

13421700 is an abundant number, since it is smaller than the sum of its proper divisors (30112406).

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

13421700 is a wasteful number, since it uses less digits than its factorization.

13421700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13421700 is about 3663.5638386686. The cubic root of 13421700 is about 237.6489186084.

The spelling of 13421700 in words is "thirteen million, four hundred twenty-one thousand, seven hundred".