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1982996010 = 2325179123091
BaseRepresentation
bin111011000110010…
…0001111000101010
312010012100122010200
41312030201320222
513030121333020
6524434253030
7100066121322
oct16614417052
95105318120
101982996010
11928393286
12474127176
13257aa2828
1414b510282
15b9154590
hex76321e2a

1982996010 has 48 divisors (see below), whose sum is σ = 5184635040. Its totient is φ = 525840480.

The previous prime is 1982995997. The next prime is 1982996033. The reversal of 1982996010 is 106992891.

1982996010 is a `hidden beast` number, since 19 + 8 + 29 + 9 + 601 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45436 + ... + 77655.

It is an arithmetic number, because the mean of its divisors is an integer number (108013230).

Almost surely, 21982996010 is an apocalyptic number.

1982996010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1982996010 is an abundant number, since it is smaller than the sum of its proper divisors (3201639030).

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

1982996010 is a wasteful number, since it uses less digits than its factorization.

1982996010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123283 (or 123280 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 1982996010 is about 44530.8433560381. The cubic root of 1982996010 is about 1256.3402685562.

The spelling of 1982996010 in words is "one billion, nine hundred eighty-two million, nine hundred ninety-six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 358 537 895 1074 1611 1790 2685 3222 5370 8055 16110 123091 246182 369273 615455 738546 1107819 1230910 1846365 2215638 3692730 5539095 11078190 22033289 44066578 66099867 110166445 132199734 198299601 220332890 330499335 396599202 660998670 991498005 1982996010