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23803640 = 2357151563
BaseRepresentation
bin101101011001…
…1011011111000
31122210100110022
41122303123320
522043204030
62210110012
7406220240
oct132633370
948710408
1023803640
1112489033
127b7b308
134c157c3
143238b20
152152de5
hex16b36f8

23803640 has 64 divisors (see below), whose sum is σ = 61724160. Its totient is φ = 8092800.

The previous prime is 23803631. The next prime is 23803649. The reversal of 23803640 is 4630832.

It is an interprime number because it is at equal distance from previous prime (23803631) and next prime (23803649).

It is a super-2 number, since 2×238036402 = 1133226554499200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23803649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41999 + ... + 42561.

It is an arithmetic number, because the mean of its divisors is an integer number (964440).

Almost surely, 223803640 is an apocalyptic number.

23803640 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 23803640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30862080).

23803640 is an abundant number, since it is smaller than the sum of its proper divisors (37920520).

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

23803640 is a wasteful number, since it uses less digits than its factorization.

23803640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 23803640 is about 4878.8974164251. The cubic root of 23803640 is about 287.6610918249.

The spelling of 23803640 in words is "twenty-three million, eight hundred three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 151 280 302 563 604 755 1057 1126 1208 1510 2114 2252 2815 3020 3941 4228 4504 5285 5630 6040 7882 8456 10570 11260 15764 19705 21140 22520 31528 39410 42280 78820 85013 157640 170026 340052 425065 595091 680104 850130 1190182 1700260 2380364 2975455 3400520 4760728 5950910 11901820 23803640