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1213383920 = 245737157373
BaseRepresentation
bin100100001010010…
…1100010011110000
310010120012021211012
41020110230103300
54441111241140
6320223010052
742032410310
oct11024542360
93116167735
101213383920
11572a18331
1229a439928
131644cc368
14b7215440
15717d1265
hex4852c4f0

1213383920 has 160 divisors (see below), whose sum is σ = 3341298048. Its totient is φ = 401117184.

The previous prime is 1213383893. The next prime is 1213383923. The reversal of 1213383920 is 293833121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213383923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3252854 + ... + 3253226.

Almost surely, 21213383920 is an apocalyptic number.

1213383920 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 1213383920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670649024).

1213383920 is an abundant number, since it is smaller than the sum of its proper divisors (2127914128).

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

1213383920 is a wasteful number, since it uses less digits than its factorization.

1213383920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 1213383920 is about 34833.6607321137. The cubic root of 1213383920 is about 1066.5946765651.

The spelling of 1213383920 in words is "one billion, two hundred thirteen million, three hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 157 185 259 280 296 314 370 373 518 560 592 628 740 746 785 1036 1099 1256 1295 1480 1492 1570 1865 2072 2198 2512 2590 2611 2960 2984 3140 3730 4144 4396 5180 5222 5495 5809 5968 6280 7460 8792 10360 10444 10990 11618 12560 13055 13801 14920 17584 20720 20888 21980 23236 26110 27602 29045 29840 40663 41776 43960 46472 52220 55204 58090 58561 69005 81326 87920 92944 96607 104440 110408 116180 117122 138010 162652 193214 203315 208880 220816 232360 234244 276020 292805 325304 386428 406630 409927 464720 468488 483035 552040 585610 650608 772856 813260 819854 936976 966070 1104080 1171220 1545712 1626520 1639708 1932140 2049635 2166757 2342440 3253040 3279416 3864280 4099270 4333514 4684880 6558832 7728560 8198540 8667028 10833785 15167299 16397080 17334056 21667570 30334598 32794160 34668112 43335140 60669196 75836495 86670280 121338392 151672990 173340560 242676784 303345980 606691960 1213383920