Search a number
-
+
1005138190 = 257191395437
BaseRepresentation
bin111011111010010…
…011000100001110
32121001100022101101
4323322103010032
54024303410230
6243423333314
733623351020
oct7372230416
92531308341
101005138190
11476413221
1224075123a
13130318b34
14976c8010
155d398aca
hex3be9310e

1005138190 has 64 divisors (see below), whose sum is σ = 2192601600. Its totient is φ = 324072576.

The previous prime is 1005138181. The next prime is 1005138223. The reversal of 1005138190 is 918315001.

It is a super-2 number, since 2×10051381902 = 2020605561992952200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182152 + ... + 187588.

It is an arithmetic number, because the mean of its divisors is an integer number (34259400).

Almost surely, 21005138190 is an apocalyptic number.

1005138190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005138190 is an abundant number, since it is smaller than the sum of its proper divisors (1187463410).

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

1005138190 is a wasteful number, since it uses less digits than its factorization.

1005138190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609.

The product of its (nonzero) digits is 1080, while the sum is 28.

The square root of 1005138190 is about 31703.9144270861. The cubic root of 1005138190 is about 1001.7098049010.

The spelling of 1005138190 in words is "one billion, five million, one hundred thirty-eight thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 139 190 266 278 665 695 973 1330 1390 1946 2641 4865 5282 5437 9730 10874 13205 18487 26410 27185 36974 38059 54370 76118 92435 103303 184870 190295 206606 380590 516515 723121 755743 1033030 1446242 1511486 3615605 3778715 5290201 7231210 7557430 10580402 14359117 26451005 28718234 52902010 71795585 100513819 143591170 201027638 502569095 1005138190