Search a number
-
+
46072320 = 29357857
BaseRepresentation
bin1010111111000…
…0001000000000
310012200201100020
42233300020000
543243303240
64323253440
71066415430
oct257601000
9105621306
1046072320
11240088a8
121351a280
139711738
1461942c0
1540a10d0
hex2bf0200

46072320 has 160 divisors (see below), whose sum is σ = 168524928. Its totient is φ = 10518528.

The previous prime is 46072319. The next prime is 46072343. The reversal of 46072320 is 2327064.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53332 + ... + 54188.

Almost surely, 246072320 is an apocalyptic number.

46072320 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 46072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84262464).

46072320 is an abundant number, since it is smaller than the sum of its proper divisors (122452608).

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

46072320 is an equidigital number, since it uses as much as digits as its factorization.

46072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 46072320 is about 6787.6593903937. The cubic root of 46072320 is about 358.4924612635.

Adding to 46072320 its reverse (2327064), we get a palindrome (48399384).

The spelling of 46072320 in words is "forty-six million, seventy-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 857 896 960 1120 1280 1344 1536 1680 1714 1792 1920 2240 2560 2571 2688 3360 3428 3584 3840 4285 4480 5142 5376 5999 6720 6856 7680 8570 8960 10284 10752 11998 12855 13440 13712 17140 17920 17997 20568 23996 25710 26880 27424 29995 34280 35994 41136 47992 51420 53760 54848 59990 68560 71988 82272 89985 95984 102840 109696 119980 137120 143976 164544 179970 191968 205680 219392 239960 274240 287952 329088 359940 383936 411360 438784 479920 548480 575904 658176 719880 767872 822720 959840 1096960 1151808 1316352 1439760 1535744 1645440 1919680 2193920 2303616 2879520 3071488 3290880 3839360 4607232 5759040 6581760 7678720 9214464 11518080 15357440 23036160 46072320