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99274734 = 2351319827
BaseRepresentation
bin1011110101011…
…00111111101110
320220210200100000
411322230333232
5200403242414
613503445130
72313551466
oct572547756
9226720300
1099274734
1151046639
12292b67a6
131774b660
14d282ba6
158aaeb09
hex5eacfee

99274734 has 96 divisors (see below), whose sum is σ = 253169280. Its totient is φ = 28903392.

The previous prime is 99274729. The next prime is 99274751. The reversal of 99274734 is 43747299.

Its product of digits (381024) is a multiple of the sum of its prime divisors (864).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 99274734.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119629 + ... + 120455.

It is an arithmetic number, because the mean of its divisors is an integer number (2637180).

Almost surely, 299274734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99274734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126584640).

99274734 is an abundant number, since it is smaller than the sum of its proper divisors (153894546).

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

99274734 is a wasteful number, since it uses less digits than its factorization.

99274734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 864 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 99274734 is about 9963.6707091312. The cubic root of 99274734 is about 463.0340307155.

The spelling of 99274734 in words is "ninety-nine million, two hundred seventy-four thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 171 234 243 247 342 351 486 494 513 702 741 827 1026 1053 1482 1539 1654 2106 2223 2481 3078 3159 4446 4617 4962 6318 6669 7443 9234 10751 13338 14886 15713 20007 21502 22329 31426 32253 40014 44658 47139 60021 64506 66987 94278 96759 120042 133974 141417 193518 200961 204269 282834 290277 401922 408538 424251 580554 612807 848502 870831 1225614 1272753 1741662 1838421 2545506 2612493 3676842 3818259 5224986 5515263 7636518 11030526 16545789 33091578 49637367 99274734