Search a number
-
+
991621620 = 223251134139
BaseRepresentation
bin111011000110101…
…111000111110100
32120002220121010200
4323012233013310
54012323342440
6242221520500
733400434063
oct7306570764
92502817120
10991621620
11469821000
12238113130
1312a595772
14959aa1da
155c0c8c30
hex3b1af1f4

991621620 has 144 divisors (see below), whose sum is σ = 3309284160. Its totient is φ = 240335040.

The previous prime is 991621607. The next prime is 991621633. The reversal of 991621620 is 26126199.

991621620 is a `hidden beast` number, since 9 + 9 + 1 + 6 + 21 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (991621607) and next prime (991621633).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237511 + ... + 241649.

It is an arithmetic number, because the mean of its divisors is an integer number (22981140).

Almost surely, 2991621620 is an apocalyptic number.

991621620 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 991621620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654642080).

991621620 is an abundant number, since it is smaller than the sum of its proper divisors (2317662540).

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

991621620 is a wasteful number, since it uses less digits than its factorization.

991621620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 991621620 is about 31490.0241346367. The cubic root of 991621620 is about 997.1993704631.

The spelling of 991621620 in words is "nine hundred ninety-one million, six hundred twenty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1331 1452 1815 1980 2178 2420 2662 3630 3993 4139 4356 5324 5445 6655 7260 7986 8278 10890 11979 12417 13310 15972 16556 19965 20695 21780 23958 24834 26620 37251 39930 41390 45529 47916 49668 59895 62085 74502 79860 82780 91058 119790 124170 136587 149004 182116 186255 227645 239580 248340 273174 372510 409761 455290 500819 546348 682935 745020 819522 910580 1001638 1365870 1502457 1639044 2003276 2048805 2504095 2731740 3004914 4097610 4507371 5008190 5509009 6009828 7512285 8195220 9014742 10016380 11018018 15024570 16527027 18029484 22036036 22536855 27545045 30049140 33054054 45073710 49581081 55090090 66108108 82635135 90147420 99162162 110180180 165270270 198324324 247905405 330540540 495810810 991621620