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14997400 = 23521117401
BaseRepresentation
bin111001001101…
…011110011000
31001012221120021
4321031132120
512314404100
61253240224
7241322125
oct71153630
931187507
1014997400
118513850
125033074
133151402
141dc574c
1514b3a1a
hexe4d798

14997400 has 96 divisors (see below), whose sum is σ = 40376880. Its totient is φ = 5120000.

The previous prime is 14997391. The next prime is 14997407. The reversal of 14997400 is 479941.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14997407) 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 23 ways as a sum of consecutive naturals, for example, 37200 + ... + 37600.

Almost surely, 214997400 is an apocalyptic number.

14997400 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 14997400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20188440).

14997400 is an abundant number, since it is smaller than the sum of its proper divisors (25379480).

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

14997400 is a wasteful number, since it uses less digits than its factorization.

14997400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 14997400 is about 3872.6476731043. The cubic root of 14997400 is about 246.6069573844.

The spelling of 14997400 in words is "fourteen million, nine hundred ninety-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 401 425 440 550 680 748 802 850 935 1100 1496 1604 1700 1870 2005 2200 3208 3400 3740 4010 4411 4675 6817 7480 8020 8822 9350 10025 13634 16040 17644 18700 20050 22055 27268 34085 35288 37400 40100 44110 54536 68170 74987 80200 88220 110275 136340 149974 170425 176440 220550 272680 299948 340850 374935 441100 599896 681700 749870 882200 1363400 1499740 1874675 2999480 3749350 7498700 14997400