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1381000959 = 3213193891597
BaseRepresentation
bin101001001010000…
…0110011011111111
310120020121010011200
41102110012123333
510312014012314
6345011350543
746136212602
oct12224063377
93506533150
101381000959
116495a2508
123265b2453
13190158b40
14d15a8339
1581390709
hex525066ff

1381000959 has 48 divisors (see below), whose sum is σ = 2268520800. Its totient is φ = 802545408.

The previous prime is 1381000939. The next prime is 1381000969. The reversal of 1381000959 is 9590001831.

It is a happy number.

It is not a de Polignac number, because 1381000959 - 212 = 1380996863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381000919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 863949 + ... + 865545.

It is an arithmetic number, because the mean of its divisors is an integer number (47260850).

Almost surely, 21381000959 is an apocalyptic number.

1381000959 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1381000959 is a deficient number, since it is larger than the sum of its proper divisors (887519841).

1381000959 is a wasteful number, since it uses less digits than its factorization.

1381000959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1381000959 is about 37161.8212551538. The cubic root of 1381000959 is about 1113.6053961687.

The spelling of 1381000959 in words is "one billion, three hundred eighty-one million, nine hundred fifty-nine", and thus it is an aban number.

Divisors: 1 3 9 13 19 39 57 117 171 247 389 741 1167 1597 2223 3501 4791 5057 7391 14373 15171 20761 22173 30343 45513 62283 66519 91029 96083 186849 273087 288249 394459 621233 864747 1183377 1863699 3550131 5591097 8076029 11803427 24228087 35410281 72684261 106230843 153444551 460333653 1381000959