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20432102240 = 2551137930631
BaseRepresentation
bin10011000001110110…
…010010001101100000
31221201221121100002102
4103001312102031200
5313321104232430
613215242505532
71322220001124
oct230166221540
957657540072
1020432102240
118735430910
123b628052a8
131c08079034
14dbb845584
157e8b71345
hex4c1d92360

20432102240 has 96 divisors (see below), whose sum is σ = 52799765760. Its totient is φ = 7410009600.

The previous prime is 20432102189. The next prime is 20432102269. The reversal of 20432102240 is 4220123402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651725 + ... + 682355.

It is an arithmetic number, because the mean of its divisors is an integer number (549997560).

Almost surely, 220432102240 is an apocalyptic number.

20432102240 is a gapful number since it is divisible by the number (20) 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 20432102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26399882880).

20432102240 is an abundant number, since it is smaller than the sum of its proper divisors (32367663520).

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

20432102240 is a wasteful number, since it uses less digits than its factorization.

20432102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31036 (or 31028 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20432102240 its reverse (4220123402), we get a palindrome (24652225642).

The spelling of 20432102240 in words is "twenty billion, four hundred thirty-two million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 379 440 758 880 1516 1760 1895 3032 3790 4169 6064 7580 8338 12128 15160 16676 20845 30320 30631 33352 41690 60640 61262 66704 83380 122524 133408 153155 166760 245048 306310 333520 336941 490096 612620 667040 673882 980192 1225240 1347764 1684705 2450480 2695528 3369410 4900960 5391056 6738820 10782112 11609149 13477640 23218298 26955280 46436596 53910560 58045745 92873192 116091490 127700639 185746384 232182980 255401278 371492768 464365960 510802556 638503195 928731920 1021605112 1277006390 1857463840 2043210224 2554012780 4086420448 5108025560 10216051120 20432102240