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61989018 = 237413331
BaseRepresentation
bin1110110001111…
…0000010011010
311022122100221120
43230132002122
5111332122033
610052350110
71351620000
oct354360232
9138570846
1061989018
1131a9a2a3
1218915336
13cac53c0
148338a70
1556971b3
hex3b1e09a

61989018 has 80 divisors (see below), whose sum is σ = 156228576. Its totient is φ = 16299360.

The previous prime is 61989017. The next prime is 61989019. The reversal of 61989018 is 81098916.

61989018 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 (61989017) and next prime (61989019).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (61989017) 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 39 ways as a sum of consecutive naturals, for example, 187113 + ... + 187443.

Almost surely, 261989018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61989018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78114288).

61989018 is an abundant number, since it is smaller than the sum of its proper divisors (94239558).

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

61989018 is a wasteful number, since it uses less digits than its factorization.

61989018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 61989018 is about 7873.3104854311. The cubic root of 61989018 is about 395.7657910045.

The spelling of 61989018 in words is "sixty-one million, nine hundred eighty-nine thousand, eighteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 331 343 546 637 662 686 993 1029 1274 1911 1986 2058 2317 2401 3822 4303 4459 4634 4802 6951 7203 8606 8918 12909 13377 13902 14406 16219 25818 26754 30121 31213 32438 48657 60242 62426 90363 93639 97314 113533 180726 187278 210847 227066 340599 421694 632541 681198 794731 1265082 1475929 1589462 2384193 2951858 4427787 4768386 8855574 10331503 20663006 30994509 61989018