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4155130420 = 2257243151653
BaseRepresentation
bin1111011110101010…
…0100001000110100
3101201120121111101021
43313222210020310
532002203133140
61524150510524
7204653011600
oct36752441064
911646544337
104155130420
11184250aa91
1297b665444
13512ac886c
142b5bb6500
15194bb9b4a
hexf7aa4234

4155130420 has 144 divisors (see below), whose sum is σ = 10471241088. Its totient is φ = 1380153600.

The previous prime is 4155130417. The next prime is 4155130433. The reversal of 4155130420 is 240315514.

It is a happy number.

4155130420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6362814 + ... + 6363466.

It is an arithmetic number, because the mean of its divisors is an integer number (72716952).

Almost surely, 24155130420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4155130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235620544).

4155130420 is an abundant number, since it is smaller than the sum of its proper divisors (6316110668).

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

4155130420 is a wasteful number, since it uses less digits than its factorization.

4155130420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 4155130420 is about 64460.3011162685. The cubic root of 4155130420 is about 1607.6625184885.

Adding to 4155130420 its reverse (240315514), we get a palindrome (4395445934).

The spelling of 4155130420 in words is "four billion, one hundred fifty-five million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 140 151 172 196 215 245 301 302 430 490 602 604 653 755 860 980 1057 1204 1306 1505 1510 2107 2114 2612 3010 3020 3265 4214 4228 4571 5285 6020 6493 6530 7399 8428 9142 10535 10570 12986 13060 14798 18284 21070 21140 22855 25972 28079 29596 31997 32465 36995 42140 45451 45710 56158 63994 64930 73990 90902 91420 98603 112316 127988 129860 140395 147980 159985 181804 196553 197206 227255 280790 318157 319970 393106 394412 454510 493015 561580 636314 639940 690221 786212 909020 982765 986030 1272628 1375871 1380442 1590785 1965530 1972060 2751742 2760884 3181570 3451105 3931060 4239929 4831547 5503484 6363140 6879355 6902210 8479858 9663094 13758710 13804420 16959716 19326188 21199645 24157735 27517420 29679503 42399290 48315470 59359006 84798580 96630940 118718012 148397515 207756521 296795030 415513042 593590060 831026084 1038782605 2077565210 4155130420