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1914983460 = 22325133126399
BaseRepresentation
bin111001000100100…
…0101010000100100
311221110101020110100
41302021011100210
512410213432320
6514004424100
765312043105
oct16211052044
94843336410
101914983460
118a2a5a465
124553a8030
1324697b810
141424883ac
15b31bc790
hex72245424

1914983460 has 144 divisors (see below), whose sum is σ = 6457651200. Its totient is φ = 456157440.

The previous prime is 1914983459. The next prime is 1914983501. The reversal of 1914983460 is 643894191.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59341 + ... + 85739.

It is an arithmetic number, because the mean of its divisors is an integer number (44844800).

Almost surely, 21914983460 is an apocalyptic number.

1914983460 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 1914983460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228825600).

1914983460 is an abundant number, since it is smaller than the sum of its proper divisors (4542667740).

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

1914983460 is a wasteful number, since it uses less digits than its factorization.

1914983460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26458 (or 26453 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1914983460 is about 43760.5239913783. The cubic root of 1914983460 is about 1241.8095890815.

The spelling of 1914983460 in words is "one billion, nine hundred fourteen million, nine hundred eighty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 780 806 930 1116 1170 1209 1395 1612 1860 2015 2340 2418 2790 3627 4030 4836 5580 6045 7254 8060 12090 14508 18135 24180 26399 36270 52798 72540 79197 105596 131995 158394 237591 263990 316788 343187 395985 475182 527980 686374 791970 818369 950364 1029561 1187955 1372748 1583940 1636738 1715935 2059122 2375910 2455107 3088683 3273476 3431870 4091845 4118244 4751820 4910214 5147805 6177366 6863740 7365321 8183690 9820428 10295610 10638797 12275535 12354732 14730642 15443415 16367380 20591220 21277594 24551070 29461284 30886830 31916391 36826605 42555188 49102140 53193985 61773660 63832782 73653210 95749173 106387970 127665564 147306420 159581955 191498346 212775940 319163910 382996692 478745865 638327820 957491730 1914983460