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2132340540 = 2235113379587
BaseRepresentation
bin111111100011000…
…1110111100111100
312111121101010022120
41333012032330330
513331334344130
6551331242540
7103561411161
oct17706167474
95447333276
102132340540
119a4718010
124b6149450
1327ca02285
141632a8068
15c7304910
hex7f18ef3c

2132340540 has 96 divisors (see below), whose sum is σ = 6533339904. Its totient is φ = 515343360.

The previous prime is 2132340527. The next prime is 2132340563. The reversal of 2132340540 is 450432312.

It is a self number, because there is not a number n which added to its sum of digits gives 2132340540.

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, 217627 + ... + 227213.

It is an arithmetic number, because the mean of its divisors is an integer number (68055624).

Almost surely, 22132340540 is an apocalyptic number.

2132340540 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 2132340540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266669952).

2132340540 is an abundant number, since it is smaller than the sum of its proper divisors (4400999364).

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

2132340540 is a wasteful number, since it uses less digits than its factorization.

2132340540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9947 (or 9945 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2132340540 is about 46177.2729814137. The cubic root of 2132340540 is about 1287.1194544421.

Adding to 2132340540 its reverse (450432312), we get a palindrome (2582772852).

The spelling of 2132340540 in words is "two billion, one hundred thirty-two million, three hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 337 660 674 1011 1348 1685 2022 3370 3707 4044 5055 6740 7414 9587 10110 11121 14828 18535 19174 20220 22242 28761 37070 38348 44484 47935 55605 57522 74140 95870 105457 111210 115044 143805 191740 210914 222420 287610 316371 421828 527285 575220 632742 1054570 1265484 1581855 2109140 3163710 3230819 6327420 6461638 9692457 12923276 16154095 19384914 32308190 35539009 38769828 48462285 64616380 71078018 96924570 106617027 142156036 177695045 193849140 213234054 355390090 426468108 533085135 710780180 1066170270 2132340540