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1426349820 = 2235724111833
BaseRepresentation
bin101010100000100…
…0101111011111100
310200101221002010010
41111001011323330
510410121143240
6353311343220
750226526200
oct12501057374
93611832103
101426349820
11672156805
12339821b10
1319967619c
14d7610b00
158534c280
hex55045efc

1426349820 has 144 divisors (see below), whose sum is σ = 4759540128. Its totient is φ = 318044160.

The previous prime is 1426349797. The next prime is 1426349851. The reversal of 1426349820 is 289436241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114624 + ... + 126456.

It is an arithmetic number, because the mean of its divisors is an integer number (33052362).

Almost surely, 21426349820 is an apocalyptic number.

1426349820 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 1426349820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379770064).

1426349820 is an abundant number, since it is smaller than the sum of its proper divisors (3333190308).

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

1426349820 is a wasteful number, since it uses less digits than its factorization.

1426349820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11900 (or 11891 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 1426349820 is about 37767.0467471313. The cubic root of 1426349820 is about 1125.6637584240.

The spelling of 1426349820 in words is "one billion, four hundred twenty-six million, three hundred forty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 49 60 70 82 84 98 105 123 140 147 164 196 205 210 245 246 287 294 410 420 490 492 574 588 615 735 820 861 980 1148 1230 1435 1470 1722 2009 2460 2870 2940 3444 4018 4305 5740 6027 8036 8610 10045 11833 12054 17220 20090 23666 24108 30135 35499 40180 47332 59165 60270 70998 82831 118330 120540 141996 165662 177495 236660 248493 331324 354990 414155 485153 496986 579817 709980 828310 970306 993972 1159634 1242465 1455459 1656620 1739451 1940612 2319268 2425765 2484930 2899085 2910918 3396071 3478902 4851530 4969860 5798170 5821836 6792142 6957804 7277295 8697255 9703060 10188213 11596340 13584284 14554590 16980355 17394510 20376426 23772497 29109180 33960710 34789020 40752852 47544994 50941065 67921420 71317491 95089988 101882130 118862485 142634982 203764260 237724970 285269964 356587455 475449940 713174910 1426349820