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16742496 = 2531967137
BaseRepresentation
bin111111110111…
…100001100000
31011111121101110
4333313201200
513241224441
61354503320
7262210641
oct77674140
934447343
1016742496
1194a5981
125734b40
133612804
14231b6c8
15170ab16
hexff7860

16742496 has 96 divisors (see below), whose sum is σ = 47295360. Its totient is φ = 5170176.

The previous prime is 16742471. The next prime is 16742503. The reversal of 16742496 is 69424761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×167424962 = 560622344620032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122140 + ... + 122276.

It is an arithmetic number, because the mean of its divisors is an integer number (492660).

Almost surely, 216742496 is an apocalyptic number.

16742496 is a gapful number since it is divisible by the number (16) 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 16742496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23647680).

16742496 is an abundant number, since it is smaller than the sum of its proper divisors (30552864).

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

16742496 is a wasteful number, since it uses less digits than its factorization.

16742496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 16742496 is about 4091.7595237257. The cubic root of 16742496 is about 255.8232829881.

The spelling of 16742496 in words is "sixteen million, seven hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 67 76 96 114 134 137 152 201 228 268 274 304 402 411 456 536 548 608 804 822 912 1072 1096 1273 1608 1644 1824 2144 2192 2546 2603 3216 3288 3819 4384 5092 5206 6432 6576 7638 7809 9179 10184 10412 13152 15276 15618 18358 20368 20824 27537 30552 31236 36716 40736 41648 55074 61104 62472 73432 83296 110148 122208 124944 146864 174401 220296 249888 293728 348802 440592 523203 697604 881184 1046406 1395208 2092812 2790416 4185624 5580832 8371248 16742496