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260241361400 = 23522356574209
BaseRepresentation
bin1111001001011110011…
…0000000100111111000
3220212201200000220211202
43302113212000213320
513230433242031100
6315315255313332
724542011034156
oct3622746004770
9825650026752
10260241361400
11a0405511699
124252a37b848
131b704a85a57
14c84aa423d6
156b81ea17d5
hex3c979809f8

260241361400 has 48 divisors (see below), whose sum is σ = 631368183600. Its totient is φ = 99570606080.

The previous prime is 260241361399. The next prime is 260241361403. The reversal of 260241361400 is 4163142062.

260241361400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260241361403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28282505 + ... + 28291704.

It is an arithmetic number, because the mean of its divisors is an integer number (13153503825).

Almost surely, 2260241361400 is an apocalyptic number.

260241361400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260241361400 is an abundant number, since it is smaller than the sum of its proper divisors (371126822200).

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

260241361400 is a wasteful number, since it uses less digits than its factorization.

260241361400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56574248 (or 56574239 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 260241361400 in words is "two hundred sixty billion, two hundred forty-one million, three hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 56574209 113148418 226296836 282871045 452593672 565742090 1131484180 1301206807 1414355225 2262968360 2602413614 2828710450 5204827228 5657420900 6506034035 10409654456 11314841800 13012068070 26024136140 32530170175 52048272280 65060340350 130120680700 260241361400