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1894343136 = 253722831423
BaseRepresentation
bin111000011101001…
…0110000111100000
311220000112121020220
41300322112013200
512334422440021
6511550203040
764641436200
oct16072260740
94800477226
101894343136
11892342044
1244a4b3480
13242602aca
1413d834400
15b1491cc6
hex70e961e0

1894343136 has 144 divisors (see below), whose sum is σ = 5809031424. Its totient is φ = 538949376.

The previous prime is 1894343117. The next prime is 1894343159. The reversal of 1894343136 is 6313434981.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1330521 + ... + 1331943.

It is an arithmetic number, because the mean of its divisors is an integer number (40340496).

Almost surely, 21894343136 is an apocalyptic number.

1894343136 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 1894343136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904515712).

1894343136 is an abundant number, since it is smaller than the sum of its proper divisors (3914688288).

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

1894343136 is a wasteful number, since it uses less digits than its factorization.

1894343136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1718 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 1894343136 is about 43524.0523848596. The cubic root of 1894343136 is about 1237.3319184837.

The spelling of 1894343136 in words is "one billion, eight hundred ninety-four million, three hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 283 294 336 392 566 588 672 784 849 1132 1176 1423 1568 1698 1981 2264 2352 2846 3396 3962 4269 4528 4704 5692 5943 6792 7924 8538 9056 9961 11384 11886 13584 13867 15848 17076 19922 22768 23772 27168 27734 29883 31696 34152 39844 41601 45536 47544 55468 59766 63392 68304 69727 79688 83202 95088 110936 119532 136608 139454 159376 166404 190176 209181 221872 239064 278908 318752 332808 402709 418362 443744 478128 557816 665616 805418 836724 956256 1115632 1208127 1331232 1610836 1673448 2231264 2416254 2818963 3221672 3346896 4832508 5637926 6443344 6693792 8456889 9665016 11275852 12886688 16913778 19330032 19732741 22551704 33827556 38660064 39465482 45103408 59198223 67655112 78930964 90206816 118396446 135310224 157861928 236792892 270620448 315723856 473585784 631447712 947171568 1894343136