Search a number
-
+
104741640 = 23335293331
BaseRepresentation
bin1100011111000…
…11101100001000
321022002102112000
412033203230020
5203303213030
614220551000
72411201133
oct617435410
9238072460
10104741640
115413aa43
122b0b2460
1318913b03
14dca721a
1592de860
hex63e3b08

104741640 has 128 divisors (see below), whose sum is σ = 351388800. Its totient is φ = 27751680.

The previous prime is 104741633. The next prime is 104741647. The reversal of 104741640 is 46147401.

104741640 is a `hidden beast` number, since 10 + 4 + 7 + 4 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (104741633) and next prime (104741647).

It is a super-2 number, since 2×1047416402 = 21941622299779200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (104741647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316275 + ... + 316605.

It is an arithmetic number, because the mean of its divisors is an integer number (2745225).

Almost surely, 2104741640 is an apocalyptic number.

104741640 is a gapful number since it is divisible by the number (10) 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 104741640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175694400).

104741640 is an abundant number, since it is smaller than the sum of its proper divisors (246647160).

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

104741640 is a wasteful number, since it uses less digits than its factorization.

104741640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 104741640 is about 10234.3363243544. The cubic root of 104741640 is about 471.3821394648.

The spelling of 104741640 in words is "one hundred four million, seven hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 293 331 360 540 586 662 879 993 1080 1172 1324 1465 1655 1758 1986 2344 2637 2648 2930 2979 3310 3516 3972 4395 4965 5274 5860 5958 6620 7032 7911 7944 8790 8937 9930 10548 11720 11916 13185 13240 14895 15822 17580 17874 19860 21096 23832 26370 29790 31644 35160 35748 39555 39720 44685 52740 59580 63288 71496 79110 89370 96983 105480 119160 158220 178740 193966 290949 316440 357480 387932 484915 581898 775864 872847 969830 1163796 1454745 1745694 1939660 2327592 2618541 2909490 3491388 3879320 4364235 5237082 5818980 6982776 8728470 10474164 11637960 13092705 17456940 20948328 26185410 34913880 52370820 104741640