Search a number
-
+
35297712140 = 22537109143721
BaseRepresentation
bin100000110111111010…
…000101100000001100
310101002221212120012212
4200313322011200030
51034242203242030
624114320245552
72356465413515
oct406772054014
9111087776185
1035297712140
1113a73702629
126a111708b8
133436b00302
1419cbc85a0c
15db8c8b595
hex837e8580c

35297712140 has 48 divisors (see below), whose sum is σ = 76200100704. Its totient is φ = 13724582400.

The previous prime is 35297712077. The next prime is 35297712143. The reversal of 35297712140 is 4121779253.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (35297712143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 785480 + ... + 829200.

It is an arithmetic number, because the mean of its divisors is an integer number (1587502098).

Almost surely, 235297712140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35297712140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38100050352).

35297712140 is an abundant number, since it is smaller than the sum of its proper divisors (40902388564).

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

35297712140 is a wasteful number, since it uses less digits than its factorization.

35297712140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44858 (or 44856 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 35297712140 in words is "thirty-five billion, two hundred ninety-seven million, seven hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1091 2182 4364 5455 10910 21820 40367 43721 80734 87442 161468 174884 201835 218605 403670 437210 807340 874420 1617677 3235354 6470708 8088385 16176770 32353540 47699611 95399222 190798444 238498055 476996110 953992220 1764885607 3529771214 7059542428 8824428035 17648856070 35297712140