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1005140150 = 25273777617
BaseRepresentation
bin111011111010010…
…011100010110110
32121001100102001222
4323322103202312
54024303441100
6243423350342
733623356520
oct7372234266
92531312058
101005140150
11476414743
122407523b2
131303199b1
14976c8a10
155d399485
hex3be938b6

1005140150 has 48 divisors (see below), whose sum is σ = 2194416096. Its totient is φ = 335301120.

The previous prime is 1005140141. The next prime is 1005140153. The reversal of 1005140150 is 510415001.

It is a super-2 number, since 2×10051401502 = 2020613442284045000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005140153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25859 + ... + 51758.

It is an arithmetic number, because the mean of its divisors is an integer number (45717002).

Almost surely, 21005140150 is an apocalyptic number.

1005140150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005140150 is an abundant number, since it is smaller than the sum of its proper divisors (1189275946).

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

1005140150 is a wasteful number, since it uses less digits than its factorization.

1005140150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77673 (or 77668 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 1005140150 is about 31703.9453380806. The cubic root of 1005140150 is about 1001.7104560055.

Adding to 1005140150 its reverse (510415001), we get a palindrome (1515555151).

The spelling of 1005140150 in words is "one billion, five million, one hundred forty thousand, one hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 37 50 70 74 175 185 259 350 370 518 925 1295 1850 2590 6475 12950 77617 155234 388085 543319 776170 1086638 1940425 2716595 2871829 3880850 5433190 5743658 13582975 14359145 20102803 27165950 28718290 40205606 71795725 100514015 143591450 201028030 502570075 1005140150