Search a number
-
+
23751040 = 275173759
BaseRepresentation
bin101101010011…
…0100110000000
31122200200022011
41122212212000
522040013130
62205022304
7405611005
oct132464600
948620264
1023751040
1112452565
127b54994
134bc7891
1432238ac
15214252a
hex16a6980

23751040 has 128 divisors (see below), whose sum is σ = 62791200. Its totient is φ = 8552448.

The previous prime is 23751011. The next prime is 23751043. The reversal of 23751040 is 4015732.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×237510402 = 1128223802163200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23751043) 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, 402531 + ... + 402589.

Almost surely, 223751040 is an apocalyptic number.

23751040 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 23751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395600).

23751040 is an abundant number, since it is smaller than the sum of its proper divisors (39040160).

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

23751040 is a wasteful number, since it uses less digits than its factorization.

23751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 23751040 is about 4873.5038729850. The cubic root of 23751040 is about 287.4490495723.

Adding to 23751040 its reverse (4015732), we get a palindrome (27766772).

The spelling of 23751040 in words is "twenty-three million, seven hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 59 64 68 74 80 85 118 128 136 148 160 170 185 236 272 295 296 320 340 370 472 544 590 592 629 640 680 740 944 1003 1088 1180 1184 1258 1360 1480 1888 2006 2176 2183 2360 2368 2516 2720 2960 3145 3776 4012 4366 4720 4736 5015 5032 5440 5920 6290 7552 8024 8732 9440 10030 10064 10880 10915 11840 12580 16048 17464 18880 20060 20128 21830 23680 25160 32096 34928 37111 37760 40120 40256 43660 50320 64192 69856 74222 80240 80512 87320 100640 128384 139712 148444 160480 174640 185555 201280 279424 296888 320960 349280 371110 402560 593776 641920 698560 742220 1187552 1397120 1484440 2375104 2968880 4750208 5937760 11875520 23751040