Search a number
-
+
91420160 = 295134167
BaseRepresentation
bin1010111001011…
…11011000000000
320101000121212212
411130233120000
5141400421120
613023241252
72160026036
oct534573000
9211017785
1091420160
1147671357
1226749228
1315c2b490
14c1da556
15805c6c5
hex572f600

91420160 has 160 divisors (see below), whose sum is σ = 245421792. Its totient is φ = 32440320.

The previous prime is 91420159. The next prime is 91420207. The reversal of 91420160 is 6102419.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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, 1364447 + ... + 1364513.

Almost surely, 291420160 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 91420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122710896).

91420160 is an abundant number, since it is smaller than the sum of its proper divisors (154001632).

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

91420160 is a wasteful number, since it uses less digits than its factorization.

91420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 91420160 is about 9561.3890204300. The cubic root of 91420160 is about 450.4853364464.

Adding to 91420160 its reverse (6102419), we get a palindrome (97522579).

The spelling of 91420160 in words is "ninety-one million, four hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 64 65 67 80 82 104 128 130 134 160 164 205 208 256 260 268 320 328 335 410 416 512 520 533 536 640 656 670 820 832 871 1040 1066 1072 1280 1312 1340 1640 1664 1742 2080 2132 2144 2560 2624 2665 2680 2747 3280 3328 3484 4160 4264 4288 4355 5248 5330 5360 5494 6560 6656 6968 8320 8528 8576 8710 10496 10660 10720 10988 13120 13735 13936 16640 17056 17152 17420 20992 21320 21440 21976 26240 27470 27872 33280 34112 34304 34840 35711 42640 42880 43952 52480 54940 55744 68224 69680 71422 85280 85760 87904 104960 109880 111488 136448 139360 142844 170560 171520 175808 178555 219760 222976 272896 278720 285688 341120 351616 357110 439520 445952 557440 571376 682240 703232 714220 879040 1114880 1142752 1364480 1406464 1428440 1758080 2229760 2285504 2856880 3516160 4571008 5713760 7032320 9142016 11427520 18284032 22855040 45710080 91420160