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16379400 = 2335227299
BaseRepresentation
bin111110011110…
…111000001000
31010211011022110
4332132320020
513143120100
61343022320
7256136232
oct76367010
933734273
1016379400
1192780a4
12559a9a0
13351646b
142265252
151688250
hexf9ee08

16379400 has 48 divisors (see below), whose sum is σ = 50778000. Its totient is φ = 4367680.

The previous prime is 16379393. The next prime is 16379401. The reversal of 16379400 is 497361.

It is a happy number.

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 (16379401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13050 + ... + 14249.

It is an arithmetic number, because the mean of its divisors is an integer number (1057875).

Almost surely, 216379400 is an apocalyptic number.

16379400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16379400 is an abundant number, since it is smaller than the sum of its proper divisors (34398600).

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

16379400 is a wasteful number, since it uses less digits than its factorization.

16379400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27318 (or 27309 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 16379400 is about 4047.1471433591. The cubic root of 16379400 is about 253.9603964128.

The spelling of 16379400 in words is "sixteen million, three hundred seventy-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 27299 54598 81897 109196 136495 163794 218392 272990 327588 409485 545980 655176 682475 818970 1091960 1364950 1637940 2047425 2729900 3275880 4094850 5459800 8189700 16379400