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21378700 = 2252724363
BaseRepresentation
bin101000110001…
…1011010001100
31111020011001201
41101203122030
520433104300
62042115244
7346500400
oct121433214
944204051
1021378700
1111082152
1271abb24
134576b25
142ba7100
151d2466a
hex146368c

21378700 has 54 divisors (see below), whose sum is σ = 53978316. Its totient is φ = 7328160.

The previous prime is 21378691. The next prime is 21378701. The reversal of 21378700 is 787312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (21378701) 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 17 ways as a sum of consecutive naturals, for example, 2719 + ... + 7081.

Almost surely, 221378700 is an apocalyptic number.

21378700 is a gapful number since it is divisible by the number (20) 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 21378700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26989158).

21378700 is an abundant number, since it is smaller than the sum of its proper divisors (32599616).

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

21378700 is a wasteful number, since it uses less digits than its factorization.

21378700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391 (or 4377 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 21378700 is about 4623.7106310841. The cubic root of 21378700 is about 277.5409673575.

The spelling of 21378700 in words is "twenty-one million, three hundred seventy-eight thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4363 4900 8726 17452 21815 30541 43630 61082 87260 109075 122164 152705 213787 218150 305410 427574 436300 610820 763525 855148 1068935 1527050 2137870 3054100 4275740 5344675 10689350 21378700