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5214666240 = 293257231149
BaseRepresentation
bin1001101101101000…
…10111111000000000
3111110102022111021200
410312310113320000
541134423304430
62221240221200
7243136634400
oct46664277000
914412274250
105214666240
1122365a7a23
12101646a800
1365147c634
143767c0800
15207c0b460
hex136d17e00

5214666240 has 720 divisors, whose sum is σ = 21831638400. Its totient is φ = 1145733120.

The previous prime is 5214666227. The next prime is 5214666253. The reversal of 5214666240 is 426664125.

It is an interprime number because it is at equal distance from previous prime (5214666227) and next prime (5214666253).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5214666195 and 5214666204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34997686 + ... + 34997834.

It is an arithmetic number, because the mean of its divisors is an integer number (30321720).

Almost surely, 25214666240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5214666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10915819200).

5214666240 is an abundant number, since it is smaller than the sum of its proper divisors (16616972160).

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

5214666240 is a wasteful number, since it uses less digits than its factorization.

5214666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5214666240 is about 72212.6459839272. The cubic root of 5214666240 is about 1734.1054600754.

The spelling of 5214666240 in words is "five billion, two hundred fourteen million, six hundred sixty-six thousand, two hundred forty".