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1906125696 = 27341571171
BaseRepresentation
bin111000110011101…
…0010101110000000
311220211201012220000
41301213102232000
512400432010241
6513050520000
765143541526
oct16147225600
94824635800
101906125696
11898a5a4a2
12452436000
13244b99b37
14141220316
15b251ceb6
hex719d2b80

1906125696 has 160 divisors (see below), whose sum is σ = 5713605480. Its totient is φ = 630789120.

The previous prime is 1906125691. The next prime is 1906125709. The reversal of 1906125696 is 6965216091.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1906125691) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1627191 + ... + 1628361.

Almost surely, 21906125696 is an apocalyptic number.

1906125696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1906125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856802740).

1906125696 is an abundant number, since it is smaller than the sum of its proper divisors (3807479784).

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

1906125696 is a wasteful number, since it uses less digits than its factorization.

1906125696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1906125696 is about 43659.1994429582. The cubic root of 1906125696 is about 1239.8919642262.

The spelling of 1906125696 in words is "one billion, nine hundred six million, one hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 157 162 192 216 288 314 324 384 432 471 576 628 648 864 942 1152 1171 1256 1296 1413 1728 1884 2342 2512 2592 2826 3456 3513 3768 4239 4684 5024 5184 5652 7026 7536 8478 9368 10048 10368 10539 11304 12717 14052 15072 16956 18736 20096 21078 22608 25434 28104 30144 31617 33912 37472 42156 45216 50868 56208 60288 63234 67824 74944 84312 90432 94851 101736 112416 126468 135648 149888 168624 180864 183847 189702 203472 224832 252936 271296 337248 367694 379404 406944 449664 505872 542592 551541 674496 735388 758808 813888 1011744 1103082 1348992 1470776 1517616 1627776 1654623 2023488 2206164 2941552 3035232 3309246 4046976 4412328 4963869 5883104 6070464 6618492 8824656 9927738 11766208 12140928 13236984 14891607 17649312 19855476 23532416 26473968 29783214 35298624 39710952 52947936 59566428 70597248 79421904 105895872 119132856 158843808 211791744 238265712 317687616 476531424 635375232 953062848 1906125696