Search a number
-
+
46143240 = 233511132689
BaseRepresentation
bin1011000000000…
…1011100001000
310012211022121220
42300001130020
543303040430
64325002040
71100132253
oct260013410
9105738556
1046143240
1124057110
1213553320
139737ac0
1461b209a
1540b7110
hex2c01708

46143240 has 128 divisors (see below), whose sum is σ = 162691200. Its totient is φ = 10321920.

The previous prime is 46143239. The next prime is 46143241. The reversal of 46143240 is 4234164.

It is an interprime number because it is at equal distance from previous prime (46143239) and next prime (46143241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 46143240.

It is not an unprimeable number, because it can be changed into a prime (46143241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15816 + ... + 18504.

It is an arithmetic number, because the mean of its divisors is an integer number (1271025).

Almost surely, 246143240 is an apocalyptic number.

46143240 is a gapful number since it is divisible by the number (40) 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 46143240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81345600).

46143240 is an abundant number, since it is smaller than the sum of its proper divisors (116547960).

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

46143240 is a wasteful number, since it uses less digits than its factorization.

46143240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 46143240 is about 6792.8815682301. The cubic root of 46143240 is about 358.6763117196.

The spelling of 46143240 in words is "forty-six million, one hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2689 2860 3432 4290 5378 5720 8067 8580 10756 13445 16134 17160 21512 26890 29579 32268 34957 40335 53780 59158 64536 69914 80670 88737 104871 107560 118316 139828 147895 161340 174785 177474 209742 236632 279656 295790 322680 349570 354948 384527 419484 443685 524355 591580 699140 709896 769054 838968 887370 1048710 1153581 1183160 1398280 1538108 1774740 1922635 2097420 2307162 3076216 3549480 3845270 4194840 4614324 5767905 7690540 9228648 11535810 15381080 23071620 46143240