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2413371640 = 235192971723
BaseRepresentation
bin1000111111011001…
…0010000011111000
320020012011222111211
42033312102003320
514420310343030
61035250532504
7113543214631
oct21766220370
96205158454
102413371640
111029315919
12574297134
132c5cbb074
1418c740888
15e1d1812a
hex8fd920f8

2413371640 has 96 divisors (see below), whose sum is σ = 5793364080. Its totient is φ = 904587264.

The previous prime is 2413371613. The next prime is 2413371647. The reversal of 2413371640 is 461733142.

2413371640 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 (2413371647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1399819 + ... + 1401541.

Almost surely, 22413371640 is an apocalyptic number.

2413371640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413371640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896682040).

2413371640 is an abundant number, since it is smaller than the sum of its proper divisors (3379992440).

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

2413371640 is a wasteful number, since it uses less digits than its factorization.

2413371640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 2413371640 is about 49126.0790212286. The cubic root of 2413371640 is about 1341.3478010970.

The spelling of 2413371640 in words is "two billion, four hundred thirteen million, three hundred seventy-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 97 152 190 194 361 380 388 485 722 760 776 970 1444 1723 1805 1843 1940 2888 3446 3610 3686 3880 6892 7220 7372 8615 9215 13784 14440 14744 17230 18430 32737 34460 35017 36860 65474 68920 70034 73720 130948 140068 163685 167131 175085 261896 280136 327370 334262 350170 622003 654740 668524 700340 835655 1244006 1309480 1337048 1400680 1671310 2488012 3110015 3175489 3342620 4976024 6220030 6350978 6685240 12440060 12701956 15877445 24880120 25403912 31754890 60334291 63509780 120668582 127019560 241337164 301671455 482674328 603342910 1206685820 2413371640