Search a number
-
+
23740747380 = 22335719615419
BaseRepresentation
bin10110000111000011…
…110000111001110100
32021021112101220222000
4112013003300321310
5342110112404010
614523434335300
71500214010640
oct260703607164
967245356860
1023740747380
11a08303a989
12472688a530
13231469731c
141213031c20
1593e3807c0
hex5870f0e74

23740747380 has 384 divisors, whose sum is σ = 90327552000. Its totient is φ = 5055644160.

The previous prime is 23740747357. The next prime is 23740747397. The reversal of 23740747380 is 8374704732.

23740747380 is a `hidden beast` number, since 237 + 407 + 4 + 7 + 3 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4378311 + ... + 4383729.

It is an arithmetic number, because the mean of its divisors is an integer number (235228000).

Almost surely, 223740747380 is an apocalyptic number.

23740747380 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 23740747380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45163776000).

23740747380 is an abundant number, since it is smaller than the sum of its proper divisors (66586804620).

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

23740747380 is a wasteful number, since it uses less digits than its factorization.

23740747380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 23740747380 in words is "twenty-three billion, seven hundred forty million, seven hundred forty-seven thousand, three hundred eighty".