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1387243200 = 263527194153
BaseRepresentation
bin101001010101111…
…1010011011000000
310120200100020220210
41102223322123000
510320113240300
6345353234120
746243241550
oct12253723300
93520306823
101387243200
11652076392
12328702940
13191533185
14d2351160
1581bc5050
hex52afa6c0

1387243200 has 672 divisors, whose sum is σ = 5714634240. Its totient is φ = 287539200.

The previous prime is 1387243199. The next prime is 1387243201. The reversal of 1387243200 is 23427831.

It is an interprime number because it is at equal distance from previous prime (1387243199) and next prime (1387243201).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1387243201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26174374 + ... + 26174426.

It is an arithmetic number, because the mean of its divisors is an integer number (8503920).

Almost surely, 21387243200 is an apocalyptic number.

1387243200 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 1387243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857317120).

1387243200 is an abundant number, since it is smaller than the sum of its proper divisors (4327391040).

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

1387243200 is a wasteful number, since it uses less digits than its factorization.

1387243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1387243200 is about 37245.7138473677. The cubic root of 1387243200 is about 1115.2807379586.

It can be divided in two parts, 13872 and 43200, that multiplied together give a square (599270400 = 244802).

The spelling of 1387243200 in words is "one billion, three hundred eighty-seven million, two hundred forty-three thousand, two hundred".