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2132400410 = 257315318541
BaseRepresentation
bin111111100011001…
…1101100100011010
312111121111011102222
41333012131210122
513331343303120
6551332424042
7103562050550
oct17706354432
95447434388
102132400410
119a4758a98
124b6178022
1327ca235ba
141632c1bd0
15c7317525
hex7f19d91a

2132400410 has 64 divisors (see below), whose sum is σ = 4613842944. Its totient is φ = 694137600.

The previous prime is 2132400409. The next prime is 2132400427. The reversal of 2132400410 is 140042312.

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, 105740 + ... + 124280.

It is an arithmetic number, because the mean of its divisors is an integer number (72091296).

Almost surely, 22132400410 is an apocalyptic number.

2132400410 is an abundant number, since it is smaller than the sum of its proper divisors (2481442534).

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

2132400410 is a wasteful number, since it uses less digits than its factorization.

2132400410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18639.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2132400410 is about 46177.9212394841. The cubic root of 2132400410 is about 1287.1315005356.

Adding to 2132400410 its reverse (140042312), we get a palindrome (2272442722).

The spelling of 2132400410 in words is "two billion, one hundred thirty-two million, four hundred thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 31 35 53 62 70 106 155 217 265 310 371 434 530 742 1085 1643 1855 2170 3286 3710 8215 11501 16430 18541 23002 37082 57505 92705 115010 129787 185410 259574 574771 648935 982673 1149542 1297870 1965346 2873855 4023397 4913365 5747710 6878711 8046794 9826730 13757422 20116985 30462863 34393555 40233970 60925726 68787110 152314315 213240041 304628630 426480082 1066200205 2132400410