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742980420 = 2232571367677
BaseRepresentation
bin101100010010001…
…111101101000100
31220210001022112100
4230102033231010
53010200333140
6201420352100
724261141450
oct5422175504
91823038470
10742980420
11351436206
121889a5630
13bac0a6b0
1470965660
1545362530
hex2c48fb44

742980420 has 288 divisors, whose sum is σ = 2819351808. Its totient is φ = 154192896.

The previous prime is 742980409. The next prime is 742980443. The reversal of 742980420 is 24089247.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1097122 + ... + 1097798.

It is an arithmetic number, because the mean of its divisors is an integer number (9789416).

Almost surely, 2742980420 is an apocalyptic number.

742980420 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 742980420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409675904).

742980420 is an abundant number, since it is smaller than the sum of its proper divisors (2076371388).

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

742980420 is a wasteful number, since it uses less digits than its factorization.

742980420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 742980420 is about 27257.6671782455. The cubic root of 742980420 is about 905.7168683871.

The spelling of 742980420 in words is "seven hundred forty-two million, nine hundred eighty thousand, four hundred twenty".