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132220240 = 24519372351
BaseRepresentation
bin1111110000110…
…00010101010000
3100012210111001221
413320120111100
5232322021430
621041534424
73163565515
oct770302520
9305714057
10132220240
11686a9029
1238344414
1321515239
14137bb30c
15b91b57a
hex7e18550

132220240 has 80 divisors (see below), whose sum is σ = 332478720. Its totient is φ = 48729600.

The previous prime is 132220229. The next prime is 132220241. The reversal of 132220240 is 42022231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55065 + ... + 57415.

It is an arithmetic number, because the mean of its divisors is an integer number (4155984).

Almost surely, 2132220240 is an apocalyptic number.

132220240 is a gapful number since it is divisible by the number (10) 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 132220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166239360).

132220240 is an abundant number, since it is smaller than the sum of its proper divisors (200258480).

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

132220240 is a wasteful number, since it uses less digits than its factorization.

132220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 132220240 is about 11498.7060141565. The cubic root of 132220240 is about 509.4473572798.

Adding to 132220240 its reverse (42022231), we get a palindrome (174242471).

The spelling of 132220240 in words is "one hundred thirty-two million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 37 38 40 74 76 80 95 148 152 185 190 296 304 370 380 592 703 740 760 1406 1480 1520 2351 2812 2960 3515 4702 5624 7030 9404 11248 11755 14060 18808 23510 28120 37616 44669 47020 56240 86987 89338 94040 173974 178676 188080 223345 347948 357352 434935 446690 695896 714704 869870 893380 1391792 1652753 1739740 1786760 3305506 3479480 3573520 6611012 6958960 8263765 13222024 16527530 26444048 33055060 66110120 132220240