Search a number
-
+
91421730 = 23351971251
BaseRepresentation
bin1010111001011…
…11110000100010
320101000201001000
411130233300202
5141400443410
613023252430
72160033441
oct534576042
9211021030
1091421730
1147672554
122674a116
1315c2c0ca
14c1dad58
15805cdc0
hex572fc22

91421730 has 128 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 22680000.

The previous prime is 91421719. The next prime is 91421731. The reversal of 91421730 is 3712419.

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

It is a junction number, because it is equal to n+sod(n) for n = 91421694 and 91421703.

It is not an unprimeable number, because it can be changed into a prime (91421731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 364105 + ... + 364355.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 291421730 is an apocalyptic number.

91421730 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 91421730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

91421730 is an abundant number, since it is smaller than the sum of its proper divisors (169851870).

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

91421730 is a wasteful number, since it uses less digits than its factorization.

91421730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 91421730 is about 9561.4711211194. The cubic root of 91421730 is about 450.4879152282.

It can be divided in two parts, 91 and 421730, that added together give a triangular number (421821 = T918).

The spelling of 91421730 in words is "ninety-one million, four hundred twenty-one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 71 90 95 114 135 142 171 190 213 251 270 285 342 355 426 502 513 570 639 710 753 855 1026 1065 1255 1278 1349 1506 1710 1917 2130 2259 2510 2565 2698 3195 3765 3834 4047 4518 4769 5130 6390 6745 6777 7530 8094 9538 9585 11295 12141 13490 13554 14307 17821 19170 20235 22590 23845 24282 28614 33885 35642 36423 40470 42921 47690 53463 60705 67770 71535 72846 85842 89105 106926 121410 128763 143070 160389 178210 182115 214605 257526 267315 320778 338599 364230 429210 481167 534630 643815 677198 801945 962334 1015797 1287630 1603890 1692995 2031594 2405835 3047391 3385990 4811670 5078985 6094782 9142173 10157970 15236955 18284346 30473910 45710865 91421730