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23141376 = 2103631
BaseRepresentation
bin101100001000…
…1110000000000
31121112201000000
41120101300000
521411011001
62144000000
7400461366
oct130216000
947481000
1023141376
1112076505
127900000
134a4322b
143105636
152071a86
hex1611c00

23141376 has 154 divisors (see below), whose sum is σ = 71595872. Its totient is φ = 7464960.

The previous prime is 23141359. The next prime is 23141389. The reversal of 23141376 is 67314132.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3024) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746481 + ... + 746511.

Almost surely, 223141376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35797936).

23141376 is an abundant number, since it is smaller than the sum of its proper divisors (48454496).

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

23141376 is an frugal number, since it uses more digits than its factorization.

23141376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 36 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 23141376 is about 4810.5484094851. The cubic root of 23141376 is about 284.9681958970.

The spelling of 23141376 in words is "twenty-three million, one hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 243 248 256 279 288 324 372 384 432 486 496 512 558 576 648 729 744 768 837 864 972 992 1024 1116 1152 1296 1458 1488 1536 1674 1728 1944 1984 2232 2304 2511 2592 2916 2976 3072 3348 3456 3888 3968 4464 4608 5022 5184 5832 5952 6696 6912 7533 7776 7936 8928 9216 10044 10368 11664 11904 13392 13824 15066 15552 15872 17856 20088 20736 22599 23328 23808 26784 27648 30132 31104 31744 35712 40176 41472 45198 46656 47616 53568 60264 62208 71424 80352 82944 90396 93312 95232 107136 120528 124416 142848 160704 180792 186624 214272 241056 248832 285696 321408 361584 373248 428544 482112 642816 723168 746496 857088 964224 1285632 1446336 1928448 2571264 2892672 3856896 5785344 7713792 11570688 23141376