Search a number
-
+
1985237136 = 2432472792
BaseRepresentation
bin111011001010100…
…0101000010010000
312010100120111101100
41312111011002100
513031210042021
6524554304400
7100124144241
oct16625050220
95110514340
101985237136
11929684053
12474a28100
132583a893c
1414b934cc8
15b9448626
hex76545090

1985237136 has 135 divisors (see below), whose sum is σ = 5749398291. Its totient is φ = 639467712.

The previous prime is 1985237129. The next prime is 1985237143. The reversal of 1985237136 is 6317325891.

The square root of 1985237136 is 44556.

It is a perfect power (a square), and thus also a powerful number.

1985237136 is a `hidden beast` number, since 1 + 98 + 523 + 7 + 1 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (1985237129) and next prime (1985237143).

It is a junction number, because it is equal to n+sod(n) for n = 1985237091 and 1985237100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25129545 + ... + 25129623.

Almost surely, 21985237136 is an apocalyptic number.

1985237136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1985237136 is the 44556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1985237136

1985237136 is an abundant number, since it is smaller than the sum of its proper divisors (3764161155).

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

1985237136 is an equidigital number, since it uses as much as digits as its factorization.

1985237136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 131 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The cubic root of 1985237136 is about 1256.8133837788.

It can be divided in two parts, 1985 and 237136, that added together give a square (239121 = 4892).

The spelling of 1985237136 in words is "one billion, nine hundred eighty-five million, two hundred thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 79 94 141 144 158 188 237 282 316 376 423 474 564 632 711 752 846 948 1128 1264 1422 1692 1896 2209 2256 2844 3384 3713 3792 4418 5688 6241 6627 6768 7426 8836 11139 11376 12482 13254 14852 17672 18723 19881 22278 24964 26508 29704 33417 35344 37446 39762 44556 49928 53016 56169 59408 66834 74892 79524 89112 99856 106032 112338 133668 149784 159048 174511 178224 224676 267336 293327 299568 318096 349022 449352 523533 534672 586654 698044 879981 898704 1047066 1173308 1396088 1570599 1759962 2094132 2346616 2639943 2792176 3141198 3519924 4188264 4693232 5279886 6282396 7039848 8376528 10559772 12564792 13786369 14079696 21119544 25129584 27572738 41359107 42239088 55145476 82718214 110290952 124077321 165436428 220581904 248154642 330872856 496309284 661745712 992618568 1985237136