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1381185088 = 26192953739
BaseRepresentation
bin101001001010011…
…0011011001000000
310120020221110202021
41102110303121000
510312040410323
6345015331224
746140610453
oct12224633100
93506843667
101381185088
11649708888
12326680b14
131901c18aa
14d161549a
15813ca05d
hex52533640

1381185088 has 112 divisors (see below), whose sum is σ = 3044952000. Its totient is φ = 618928128.

The previous prime is 1381185079. The next prime is 1381185097. The reversal of 1381185088 is 8805811831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1381185079) and next prime (1381185097).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1868623 + ... + 1869361.

Almost surely, 21381185088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381185088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522476000).

1381185088 is an abundant number, since it is smaller than the sum of its proper divisors (1663766912).

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

1381185088 is a wasteful number, since it uses less digits than its factorization.

1381185088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 43.

The square root of 1381185088 is about 37164.2985673078. The cubic root of 1381185088 is about 1113.6548863433.

The spelling of 1381185088 in words is "one billion, three hundred eighty-one million, one hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 19 29 32 38 53 58 64 76 106 116 152 212 232 304 424 464 551 608 739 848 928 1007 1102 1216 1478 1537 1696 1856 2014 2204 2956 3074 3392 4028 4408 5912 6148 8056 8816 11824 12296 14041 16112 17632 21431 23648 24592 28082 29203 32224 35264 39167 42862 47296 49184 56164 58406 64448 78334 85724 98368 112328 116812 156668 171448 224656 233624 313336 342896 407189 449312 467248 626672 685792 744173 814378 898624 934496 1135843 1253344 1371584 1488346 1628756 1868992 2271686 2506688 2976692 3257512 4543372 5953384 6515024 9086744 11906768 13030048 18173488 21581017 23813536 26060096 36346976 43162034 47627072 72693952 86324068 172648136 345296272 690592544 1381185088