Search a number
-
+
23004480 = 263531773
BaseRepresentation
bin101011111000…
…0010101000000
31121021202012210
41113300111000
521342120410
62141022120
7366351312
oct127602500
947252183
1023004480
1111a92674
127854940
1349c5b25
1430ab7b2
152046220
hex15f0540

23004480 has 112 divisors (see below), whose sum is σ = 75492864. Its totient is φ = 5928960.

The previous prime is 23004469. The next prime is 23004481. The reversal of 23004480 is 8440032.

It is a happy number.

It is a super-3 number, since 3×230044803 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23004481) 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, 29374 + ... + 30146.

Almost surely, 223004480 is an apocalyptic number.

23004480 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 23004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37746432).

23004480 is an abundant number, since it is smaller than the sum of its proper divisors (52488384).

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

23004480 is a wasteful number, since it uses less digits than its factorization.

23004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 23004480 is about 4796.2985728580. The cubic root of 23004480 is about 284.4051613141.

The spelling of 23004480 in words is "twenty-three million, four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 773 930 960 992 1240 1488 1546 1860 1984 2319 2480 2976 3092 3720 3865 4638 4960 5952 6184 7440 7730 9276 9920 11595 12368 14880 15460 18552 23190 23963 24736 29760 30920 37104 46380 47926 49472 61840 71889 74208 92760 95852 119815 123680 143778 148416 185520 191704 239630 247360 287556 359445 371040 383408 479260 575112 718890 742080 766816 958520 1150224 1437780 1533632 1917040 2300448 2875560 3834080 4600896 5751120 7668160 11502240 23004480