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23476080 = 2435293373
BaseRepresentation
bin101100110001…
…1011101110000
31122011201010110
41121203131300
522002213310
62155101320
7403354245
oct131433560
948151113
1023476080
1112284a21
127a41840
134b2c694
1431915cc
1520dad20
hex1663770

23476080 has 80 divisors (see below), whose sum is σ = 75307680. Its totient is φ = 6042624.

The previous prime is 23476043. The next prime is 23476081. The reversal of 23476080 is 8067432.

23476080 = T495 + T496 + ... + T639.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×234760802 = 1102252664332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23476081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5274 + ... + 8646.

It is an arithmetic number, because the mean of its divisors is an integer number (941346).

Almost surely, 223476080 is an apocalyptic number.

23476080 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 23476080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37653840).

23476080 is an abundant number, since it is smaller than the sum of its proper divisors (51831600).

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

23476080 is a wasteful number, since it uses less digits than its factorization.

23476080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 23476080 is about 4845.2120696622. The cubic root of 23476080 is about 286.3354988272.

The spelling of 23476080 in words is "twenty-three million, four hundred seventy-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3373 3480 6746 6960 10119 13492 16865 20238 26984 33730 40476 50595 53968 67460 80952 97817 101190 134920 161904 195634 202380 269840 293451 391268 404760 489085 586902 782536 809520 978170 1173804 1467255 1565072 1956340 2347608 2934510 3912680 4695216 5869020 7825360 11738040 23476080