[go: up one dir, main page]

Search a number
-
+
16072290 = 23351319241
BaseRepresentation
bin111101010011…
…111001100010
31010020120001000
4331103321202
513103303130
61332252430
7253416663
oct75237142
933216030
1016072290
119088393
125471116
133439740
1421c536a
151627260
hexf53e62

16072290 has 128 divisors (see below), whose sum is σ = 48787200. Its totient is φ = 3732480.

The previous prime is 16072267. The next prime is 16072297. The reversal of 16072290 is 9227061.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16072297) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66570 + ... + 66810.

It is an arithmetic number, because the mean of its divisors is an integer number (381150).

Almost surely, 216072290 is an apocalyptic number.

16072290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16072290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24393600).

16072290 is an abundant number, since it is smaller than the sum of its proper divisors (32714910).

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

16072290 is a wasteful number, since it uses less digits than its factorization.

16072290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 16072290 is about 4009.0260662660. The cubic root of 16072290 is about 252.3631385880.

The spelling of 16072290 in words is "sixteen million, seventy-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 90 95 114 117 130 135 171 190 195 234 241 247 270 285 342 351 390 482 494 513 570 585 702 723 741 855 1026 1170 1205 1235 1446 1482 1710 1755 2169 2223 2410 2470 2565 3133 3510 3615 3705 4338 4446 4579 5130 6266 6507 6669 7230 7410 9158 9399 10845 11115 13014 13338 13737 15665 18798 21690 22230 22895 27474 28197 31330 32535 33345 41211 45790 46995 56394 59527 65070 66690 68685 82422 84591 93990 119054 123633 137370 140985 169182 178581 206055 247266 281970 297635 357162 412110 422955 535743 595270 618165 845910 892905 1071486 1236330 1607229 1785810 2678715 3214458 5357430 8036145 16072290