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74211696 = 243213291367
BaseRepresentation
bin1000110110001…
…10000101110000
312011122100022100
410123012011300
5122444233241
611210340400
71560534426
oct433060560
9164570270
1074211696
1138988389
1220a2a700
13124b4860
149bdb116
1567ad9b6
hex46c6170

74211696 has 120 divisors (see below), whose sum is σ = 231547680. Its totient is φ = 22030848.

The previous prime is 74211689. The next prime is 74211703. The reversal of 74211696 is 69611247.

It is an interprime number because it is at equal distance from previous prime (74211689) and next prime (74211703).

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

It is a self number, because there is not a number n which added to its sum of digits gives 74211696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53605 + ... + 54971.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 274211696 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 74211696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

74211696 is an abundant number, since it is smaller than the sum of its proper divisors (157335984).

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

74211696 is a wasteful number, since it uses less digits than its factorization.

74211696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1414 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 74211696 is about 8614.6210595708. The cubic root of 74211696 is about 420.2336115336.

The spelling of 74211696 in words is "seventy-four million, two hundred eleven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 464 468 522 624 696 754 936 1044 1131 1367 1392 1508 1872 2088 2262 2734 3016 3393 4101 4176 4524 5468 6032 6786 8202 9048 10936 12303 13572 16404 17771 18096 21872 24606 27144 32808 35542 39643 49212 53313 54288 65616 71084 79286 98424 106626 118929 142168 158572 159939 196848 213252 237858 284336 317144 319878 356787 426504 475716 515359 634288 639756 713574 853008 951432 1030718 1279512 1427148 1546077 1902864 2061436 2559024 2854296 3092154 4122872 4638231 5708592 6184308 8245744 9276462 12368616 18552924 24737232 37105848 74211696