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1397230800 = 243527414057
BaseRepresentation
bin101001101001000…
…0000110011010000
310121101010200022220
41103102000303100
510330142341200
6350351301040
746424160120
oct12322006320
93541120286
101397230800
116577781a9
1232bb1a780
1319361c1b4
14d37d0c80
15829e94a0
hex53480cd0

1397230800 has 240 divisors, whose sum is σ = 5241247872. Its totient is φ = 311500800.

The previous prime is 1397230787. The next prime is 1397230801. The reversal of 1397230800 is 80327931.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1397230801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342372 + ... + 346428.

Almost surely, 21397230800 is an apocalyptic number.

1397230800 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 1397230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620623936).

1397230800 is an abundant number, since it is smaller than the sum of its proper divisors (3844017072).

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

1397230800 is a wasteful number, since it uses less digits than its factorization.

1397230800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1397230800 is about 37379.5505590958. The cubic root of 1397230800 is about 1117.9508663202.

The spelling of 1397230800 in words is "one billion, three hundred ninety-seven million, two hundred thirty thousand, eight hundred".