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3523641420 = 22351343310433
BaseRepresentation
bin1101001000000110…
…1000000001001100
3100002120100112022210
43102001220001030
524204023011140
61341351510420
7153214313025
oct32201500114
910076315283
103523641420
111549004a52
12824088410
13442026330
14255d93c4c
1515952bd80
hexd206804c

3523641420 has 96 divisors (see below), whose sum is σ = 10650693312. Its totient is φ = 865271808.

The previous prime is 3523641397. The next prime is 3523641427. The reversal of 3523641420 is 241463253.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3523641427) 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, 332524 + ... + 342956.

It is an arithmetic number, because the mean of its divisors is an integer number (110944722).

Almost surely, 23523641420 is an apocalyptic number.

3523641420 is a gapful number since it is divisible by the number (30) 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 3523641420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5325346656).

3523641420 is an abundant number, since it is smaller than the sum of its proper divisors (7127051892).

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

3523641420 is a wasteful number, since it uses less digits than its factorization.

3523641420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10891 (or 10889 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3523641420 is about 59360.2680250014. The cubic root of 3523641420 is about 1521.7053545552.

The spelling of 3523641420 in words is "three billion, five hundred twenty-three million, six hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 433 780 866 1299 1732 2165 2598 4330 5196 5629 6495 8660 10433 11258 12990 16887 20866 22516 25980 28145 31299 33774 41732 52165 56290 62598 67548 84435 104330 112580 125196 135629 156495 168870 208660 271258 312990 337740 406887 542516 625980 678145 813774 1356290 1627548 2034435 2712580 4068870 4517489 8137740 9034978 13552467 18069956 22587445 27104934 45174890 54209868 58727357 67762335 90349780 117454714 135524670 176182071 234909428 271049340 293636785 352364142 587273570 704728284 880910355 1174547140 1761820710 3523641420