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10060890040 = 2353159137519
BaseRepresentation
bin10010101111010110…
…01111111110111000
3221222011100011120001
421113223033332320
5131101041440130
64342155442344
7504214103635
oct112753177670
927864304501
1010060890040
1142a3123663
121b494563b4
13c444b9596
146b629318c
153dd3d96ca
hex257acffb8

10060890040 has 64 divisors (see below), whose sum is σ = 23763456000. Its totient is φ = 3828501120.

The previous prime is 10060890019. The next prime is 10060890043. The reversal of 10060890040 is 4009806001.

It is a junction number, because it is equal to n+sod(n) for n = 10060889990 and 10060890008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10060890043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4401 + ... + 141919.

It is an arithmetic number, because the mean of its divisors is an integer number (371304000).

Almost surely, 210060890040 is an apocalyptic number.

10060890040 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 10060890040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11881728000).

10060890040 is an abundant number, since it is smaller than the sum of its proper divisors (13702565960).

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

10060890040 is a wasteful number, since it uses less digits than its factorization.

10060890040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137620 (or 137616 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 10060890040 in words is "ten billion, sixty million, eight hundred ninety thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 59 62 118 124 155 236 248 295 310 472 590 620 1180 1240 1829 2360 3658 7316 9145 14632 18290 36580 73160 137519 275038 550076 687595 1100152 1375190 2750380 4263089 5500760 8113621 8526178 16227242 17052356 21315445 32454484 34104712 40568105 42630890 64908968 81136210 85261780 162272420 170523560 251522251 324544840 503044502 1006089004 1257611255 2012178008 2515222510 5030445020 10060890040