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20246970240 = 273257653769
BaseRepresentation
bin10010110110110100…
…000011111110000000
31221021001020122201200
4102312310003332000
5312431211021430
613145030501200
71314511256520
oct226664037600
957231218650
1020246970240
11864a983462
123b10804800
131ba88c9283
14da1013680
157d77a2460
hex4b6d03f80

20246970240 has 384 divisors, whose sum is σ = 80129649600. Its totient is φ = 4614782976.

The previous prime is 20246970229. The next prime is 20246970253. The reversal of 20246970240 is 4207964202.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 20246970195 and 20246970204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26328576 + ... + 26329344.

Almost surely, 220246970240 is an apocalyptic number.

20246970240 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 20246970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40064824800).

20246970240 is an abundant number, since it is smaller than the sum of its proper divisors (59882679360).

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

20246970240 is a wasteful number, since it uses less digits than its factorization.

20246970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20246970240 in words is "twenty billion, two hundred forty-six million, nine hundred seventy thousand, two hundred forty".