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91330416 = 2434193709
BaseRepresentation
bin1010111000110…
…01011101110000
320100212001210000
411130121131300
5141340033131
613021310000
72156203302
oct534313560
9210761700
1091330416
114760a991
1226705300
1315bc9688
14c1b5972
158040ce6
hex5719770

91330416 has 100 divisors (see below), whose sum is σ = 278324200. Its totient is φ = 28833408.

The previous prime is 91330391. The next prime is 91330417. The reversal of 91330416 is 61403319.

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

It is a self number, because there is not a number n which added to its sum of digits gives 91330416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91330417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22770 + ... + 26478.

It is an arithmetic number, because the mean of its divisors is an integer number (2783242).

Almost surely, 291330416 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 91330416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139162100).

91330416 is an abundant number, since it is smaller than the sum of its proper divisors (186993784).

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

91330416 is a wasteful number, since it uses less digits than its factorization.

91330416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 91330416 is about 9556.6948261415. The cubic root of 91330416 is about 450.3378795752.

It can be divided in two parts, 913 and 30416, that added together give a square (31329 = 1772).

The spelling of 91330416 in words is "ninety-one million, three hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 513 648 684 912 1026 1296 1368 1539 2052 2736 3078 3709 4104 6156 7418 8208 11127 12312 14836 22254 24624 29672 33381 44508 59344 66762 70471 89016 100143 133524 140942 178032 200286 211413 267048 281884 300429 400572 422826 534096 563768 600858 634239 801144 845652 1127536 1201716 1268478 1602288 1691304 1902717 2403432 2536956 3382608 3805434 4806864 5073912 5708151 7610868 10147824 11416302 15221736 22832604 30443472 45665208 91330416