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1387190025 = 32521321912
BaseRepresentation
bin101001010101110…
…1101011100001001
310120200020112222100
41102223231130021
510320110040100
6345352144013
746242630534
oct12253553411
93520215870
101387190025
1165203a441
12328698009
13191514c00
14d2339a1b
1581bb4400
hex52aed709

1387190025 has 81 divisors (see below), whose sum is σ = 2704597077. Its totient is φ = 679348800.

The previous prime is 1387189967. The next prime is 1387190027. The reversal of 1387190025 is 5200917831.

The square root of 1387190025 is 37245.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 357550281 + 1029639744 = 18909^2 + 32088^2 .

It is not a de Polignac number, because 1387190025 - 29 = 1387189513 is a prime.

It is a super-3 number, since 3×13871900253 (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1387190027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7262680 + ... + 7262870.

Almost surely, 21387190025 is an apocalyptic number.

1387190025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1387190025 is the 37245-th square number.

1387190025 is the 18623-rd centered octagonal number.

It is an amenable number.

1387190025 is a deficient number, since it is larger than the sum of its proper divisors (1317407052).

1387190025 is a wasteful number, since it uses less digits than its factorization.

1387190025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The cubic root of 1387190025 is about 1115.2664876789.

Multiplying 1387190025 by its sum of digits (36), we get a square (49938840900 = 2234702).

The spelling of 1387190025 in words is "one billion, three hundred eighty-seven million, one hundred ninety thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 191 195 225 325 507 573 585 845 955 975 1521 1719 2483 2535 2865 2925 4225 4775 7449 7605 8595 12415 12675 14325 22347 32279 36481 37245 38025 42975 62075 96837 109443 111735 161395 182405 186225 290511 328329 474253 484185 547215 558675 806975 912025 1422759 1452555 1641645 2371265 2420925 2736075 4268277 6165289 7113795 7262775 8208225 11856325 18495867 21341385 30826445 35568975 55487601 92479335 106706925 154132225 277438005 462396675 1387190025