Search a number
-
+
23700480 = 210351543
BaseRepresentation
bin101101001101…
…0010000000000
31122121002221120
41122122100000
522031403410
62203552240
7405310416
oct132322000
948532846
1023700480
1112418581
127b2b680
134baa86b
14320d2b6
152132570
hex169a400

23700480 has 88 divisors (see below), whose sum is σ = 75853632. Its totient is φ = 6316032.

The previous prime is 23700463. The next prime is 23700491. The reversal of 23700480 is 8400732.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23700480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14589 + ... + 16131.

Almost surely, 223700480 is an apocalyptic number.

23700480 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 23700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37926816).

23700480 is an abundant number, since it is smaller than the sum of its proper divisors (52153152).

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

23700480 is a wasteful number, since it uses less digits than its factorization.

23700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 23700480 is about 4868.3138764874. The cubic root of 23700480 is about 287.2449357197.

The spelling of 23700480 in words is "twenty-three million, seven hundred thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1543 1920 2560 3072 3086 3840 4629 5120 6172 7680 7715 9258 12344 15360 15430 18516 23145 24688 30860 37032 46290 49376 61720 74064 92580 98752 123440 148128 185160 197504 246880 296256 370320 395008 493760 592512 740640 790016 987520 1185024 1481280 1580032 1975040 2370048 2962560 3950080 4740096 5925120 7900160 11850240 23700480