Search a number
-
+
35690148 = 22321376261
BaseRepresentation
bin1000100000100…
…1011010100100
32111011020200100
42020021122210
533114041043
63312544100
7612234624
oct210113244
974136610
1035690148
111916759a
12bb52030
137517c40
144a50884
1531eecd3
hex22096a4

35690148 has 36 divisors (see below), whose sum is σ = 97157788. Its totient is φ = 10981440.

The previous prime is 35690143. The next prime is 35690153. The reversal of 35690148 is 84109653.

It is an interprime number because it is at equal distance from previous prime (35690143) and next prime (35690153).

It can be written as a sum of positive squares in 2 ways, for example, as 11009124 + 24681024 = 3318^2 + 4968^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (35690141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37663 + ... + 38598.

Almost surely, 235690148 is an apocalyptic number.

It is an amenable number.

35690148 is an abundant number, since it is smaller than the sum of its proper divisors (61467640).

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

35690148 is a wasteful number, since it uses less digits than its factorization.

35690148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76284 (or 76279 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 35690148 is about 5974.1231992653. The cubic root of 35690148 is about 329.2426710213.

The spelling of 35690148 in words is "thirty-five million, six hundred ninety thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 76261 152522 228783 305044 457566 686349 915132 991393 1372698 1982786 2745396 2974179 3965572 5948358 8922537 11896716 17845074 35690148