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1201418240 = 2125115333
BaseRepresentation
bin100011110011100…
…0011000000000000
310002201200100222212
41013213003000000
54430030340430
6315114321252
741525613041
oct10747030000
93081610885
101201418240
11567195340
12296429228
13161b9cb89
14b57bc8c8
157071ab95
hex479c3000

1201418240 has 104 divisors (see below), whose sum is σ = 3145737168. Its totient is φ = 436797440.

The previous prime is 1201418227. The next prime is 1201418243. The reversal of 1201418240 is 428141021.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1201418243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222614 + ... + 227946.

Almost surely, 21201418240 is an apocalyptic number.

1201418240 is a gapful number since it is divisible by the number (10) 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 1201418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572868584).

1201418240 is an abundant number, since it is smaller than the sum of its proper divisors (1944318928).

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

1201418240 is an equidigital number, since it uses as much as digits as its factorization.

1201418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5373 (or 5351 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 1201418240 is about 34661.4806377339. The cubic root of 1201418240 is about 1063.0770446122.

Adding to 1201418240 its reverse (428141021), we get a palindrome (1629559261).

The spelling of 1201418240 in words is "one billion, two hundred one million, four hundred eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 4096 5120 5333 5632 7040 10240 10666 11264 14080 20480 21332 22528 26665 28160 42664 45056 53330 56320 58663 85328 106660 112640 117326 170656 213320 225280 234652 293315 341312 426640 469304 586630 682624 853280 938608 1173260 1365248 1706560 1877216 2346520 2730496 3413120 3754432 4693040 5460992 6826240 7508864 9386080 10921984 13652480 15017728 18772160 21843968 27304960 30035456 37544320 54609920 60070912 75088640 109219840 120141824 150177280 240283648 300354560 600709120 1201418240