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101741490 = 23253730553
BaseRepresentation
bin1100001000001…
…11001110110010
321002110000002100
412010013032302
5202021211430
614032401230
72343534264
oct604071662
9232400070
10101741490
1152480984
122a0a6216
1318103386
14d725b34
158dea960
hex61073b2

101741490 has 48 divisors (see below), whose sum is σ = 271686168. Its totient is φ = 26396928.

The previous prime is 101741477. The next prime is 101741491. The reversal of 101741490 is 94147101.

101741490 is a `hidden beast` number, since 1 + 0 + 174 + 1 + 490 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85988529 + 15752961 = 9273^2 + 3969^2 .

It is not an unprimeable number, because it can be changed into a prime (101741491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11947 + ... + 18606.

Almost surely, 2101741490 is an apocalyptic number.

101741490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101741490 is an abundant number, since it is smaller than the sum of its proper divisors (169944678).

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

101741490 is a wasteful number, since it uses less digits than its factorization.

101741490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30603 (or 30600 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 101741490 is about 10086.6986670565. The cubic root of 101741490 is about 466.8378187408.

Adding to 101741490 its reverse (94147101), we get a palindrome (195888591).

It can be divided in two parts, 10174 and 1490, that added together give a square (11664 = 1082).

The spelling of 101741490 in words is "one hundred one million, seven hundred forty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 30553 61106 91659 152765 183318 274977 305530 458295 549954 916590 1130461 1374885 2260922 2749770 3391383 5652305 6782766 10174149 11304610 16956915 20348298 33913830 50870745 101741490