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23464728 = 233472739
BaseRepresentation
bin101100110000…
…0101100011000
31122011010120000
41121200230120
522001332403
62154533000
7403306200
oct131405430
948133500
1023464728
1112277441
127a37160
134b27471
14318b400
1520d77a3
hex1660b18

23464728 has 120 divisors (see below), whose sum is σ = 76556700. Its totient is φ = 6695136.

The previous prime is 23464717. The next prime is 23464733. The reversal of 23464728 is 82746432.

23464728 is a `hidden beast` number, since 2 + 3 + 4 + 647 + 2 + 8 = 666.

It is a super-2 number, since 2×234647282 = 1101186920227968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23464692 and 23464701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31383 + ... + 32121.

Almost surely, 223464728 is an apocalyptic number.

23464728 is a gapful number since it is divisible by the number (28) 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 23464728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38278350).

23464728 is an abundant number, since it is smaller than the sum of its proper divisors (53091972).

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

23464728 is a wasteful number, since it uses less digits than its factorization.

23464728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 751 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 23464728 is about 4844.0404622588. The cubic root of 23464728 is about 286.2893383005.

The spelling of 23464728 in words is "twenty-three million, four hundred sixty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 739 756 882 1134 1176 1323 1478 1512 1764 2217 2268 2646 2956 3528 3969 4434 4536 5173 5292 5912 6651 7938 8868 10346 10584 13302 15519 15876 17736 19953 20692 26604 31038 31752 36211 39906 41384 46557 53208 59859 62076 72422 79812 93114 108633 119718 124152 139671 144844 159624 186228 217266 239436 279342 289688 325899 372456 419013 434532 478872 558684 651798 838026 869064 977697 1117368 1303596 1676052 1955394 2607192 2933091 3352104 3910788 5866182 7821576 11732364 23464728