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1025968374 = 2323110317851
BaseRepresentation
bin111101001001110…
…000100011110110
32122111112121000200
4331021300203312
54100121441444
6245450021330
734265405304
oct7511604366
92574477020
101025968374
11487150252
12247717846
131347300a2
149a38b274
1560110969
hex3d2708f6

1025968374 has 48 divisors (see below), whose sum is σ = 2317046784. Its totient is φ = 327726000.

The previous prime is 1025968367. The next prime is 1025968381. The reversal of 1025968374 is 4738695201.

1025968374 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1025968367) and next prime (1025968381).

It is a super-2 number, since 2×10259683742 = 2105222208896407752, which contains 22 as substring.

1025968374 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48549 + ... + 66399.

It is an arithmetic number, because the mean of its divisors is an integer number (48271808).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1025968374 = 2051936748, but 3⋅1025968374 = 3077905122 is not.

Almost surely, 21025968374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025968374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158523392).

1025968374 is an abundant number, since it is smaller than the sum of its proper divisors (1291078410).

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

1025968374 is a wasteful number, since it uses less digits than its factorization.

1025968374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17993 (or 17990 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1025968374 is about 32030.7410779083. The cubic root of 1025968374 is about 1008.5822587915.

The spelling of 1025968374 in words is "one billion, twenty-five million, nine hundred sixty-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 31 62 93 103 186 206 279 309 558 618 927 1854 3193 6386 9579 17851 19158 28737 35702 53553 57474 107106 160659 321318 553381 1106762 1660143 1838653 3320286 3677306 4980429 5515959 9960858 11031918 16547877 33095754 56998243 113996486 170994729 341989458 512984187 1025968374