Search a number
-
+
132046848 = 21334199
BaseRepresentation
bin1111101111011…
…10000000000000
3100012110200020000
413313232000000
5232300444343
621034120000
73162244143
oct767560000
9305420200
10132046848
116859a82a
1238280000
132148433b
141377405a
15b8d4ed3
hex7dee000

132046848 has 140 divisors (see below), whose sum is σ = 396468600. Its totient is φ = 43794432.

The previous prime is 132046847. The next prime is 132046861. The reversal of 132046848 is 848640231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132046843) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663453 + ... + 663651.

Almost surely, 2132046848 is an apocalyptic number.

132046848 is a gapful number since it is divisible by the number (18) 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 132046848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198234300).

132046848 is an abundant number, since it is smaller than the sum of its proper divisors (264421752).

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

132046848 is an frugal number, since it uses more digits than its factorization.

132046848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 132046848 is about 11491.1639097178. The cubic root of 132046848 is about 509.2245655253.

The spelling of 132046848 in words is "one hundred thirty-two million, forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 199 216 256 288 324 384 398 432 512 576 597 648 768 796 864 1024 1152 1194 1296 1536 1592 1728 1791 2048 2304 2388 2592 3072 3184 3456 3582 4096 4608 4776 5184 5373 6144 6368 6912 7164 8192 9216 9552 10368 10746 12288 12736 13824 14328 16119 18432 19104 20736 21492 24576 25472 27648 28656 32238 36864 38208 41472 42984 50944 55296 57312 64476 73728 76416 82944 85968 101888 110592 114624 128952 152832 165888 171936 203776 221184 229248 257904 305664 331776 343872 407552 458496 515808 611328 663552 687744 815104 916992 1031616 1222656 1375488 1630208 1833984 2063232 2445312 2750976 3667968 4126464 4890624 5501952 7335936 8252928 11003904 14671872 16505856 22007808 33011712 44015616 66023424 132046848