Search a number
-
+
61357890 = 23511216903
BaseRepresentation
bin1110101000001…
…1111101000010
311021110022012110
43222003331002
5111201423030
610031040150
71343350656
oct352037502
9137408173
1061357890
11316a9100
1218670056
13c934059
148212a66
1555c01b0
hex3a83f42

61357890 has 48 divisors (see below), whose sum is σ = 161872704. Its totient is φ = 14873760.

The previous prime is 61357871. The next prime is 61357909. The reversal of 61357890 is 9875316.

61357890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61357871) and next prime (61357909).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4822 + ... + 12081.

It is an arithmetic number, because the mean of its divisors is an integer number (3372348).

Almost surely, 261357890 is an apocalyptic number.

61357890 is an abundant number, since it is smaller than the sum of its proper divisors (100514814).

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

61357890 is a wasteful number, since it uses less digits than its factorization.

61357890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16935 (or 16924 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 61357890 is about 7833.1277277981. The cubic root of 61357890 is about 394.4180716937.

The spelling of 61357890 in words is "sixty-one million, three hundred fifty-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 16903 33806 50709 84515 101418 169030 185933 253545 371866 507090 557799 929665 1115598 1859330 2045263 2788995 4090526 5577990 6135789 10226315 12271578 20452630 30678945 61357890