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2135444820 = 2235415914713
BaseRepresentation
bin111111101001000…
…0100110101010100
312111211012211120220
41333102010311110
513333133213240
6551521554340
7103626660435
oct17722046524
95454184526
102135444820
119a6448333
124b71a59b0
1328054b222
1416387548c
15c77195d0
hex7f484d54

2135444820 has 96 divisors (see below), whose sum is σ = 6229319040. Its totient is φ = 546109440.

The previous prime is 2135444803. The next prime is 2135444849. The reversal of 2135444820 is 284445312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137784 + ... + 152496.

It is an arithmetic number, because the mean of its divisors is an integer number (64888740).

Almost surely, 22135444820 is an apocalyptic number.

2135444820 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 2135444820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114659520).

2135444820 is an abundant number, since it is smaller than the sum of its proper divisors (4093874220).

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

2135444820 is a wasteful number, since it uses less digits than its factorization.

2135444820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14825 (or 14823 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2135444820 is about 46210.8733957713. The cubic root of 2135444820 is about 1287.7437515058.

The spelling of 2135444820 in words is "two billion, one hundred thirty-five million, four hundred forty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 59 60 82 118 123 164 177 205 236 246 295 354 410 492 590 615 708 820 885 1180 1230 1770 2419 2460 3540 4838 7257 9676 12095 14514 14713 24190 29028 29426 36285 44139 48380 58852 72570 73565 88278 145140 147130 176556 220695 294260 441390 603233 868067 882780 1206466 1736134 1809699 2412932 2604201 3016165 3472268 3619398 4340335 5208402 6032330 7238796 8680670 9048495 10416804 12064660 13021005 17361340 18096990 26042010 35590747 36193980 52084020 71181494 106772241 142362988 177953735 213544482 355907470 427088964 533861205 711814940 1067722410 2135444820