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132361940 = 22531412127
BaseRepresentation
bin1111110001110…
…10111011010100
3100020001200110002
413320322323110
5232341040230
621044550432
73165025604
oct770727324
9306050402
10132361940
1168795537
12383b2418
1321564899
1413816c04
15b948545
hex7e3aed4

132361940 has 72 divisors (see below), whose sum is σ = 296411136. Its totient is φ = 49593600.

The previous prime is 132361937. The next prime is 132361967. The reversal of 132361940 is 49163231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1042157 + ... + 1042283.

Almost surely, 2132361940 is an apocalyptic number.

132361940 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 132361940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148205568).

132361940 is an abundant number, since it is smaller than the sum of its proper divisors (164049196).

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

132361940 is a wasteful number, since it uses less digits than its factorization.

132361940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 132361940 is about 11504.8659270762. The cubic root of 132361940 is about 509.6292833292.

The spelling of 132361940 in words is "one hundred thirty-two million, three hundred sixty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 127 155 164 205 254 310 410 508 620 635 820 1270 1271 1681 2540 2542 3362 3937 5084 5207 6355 6724 7874 8405 10414 12710 15748 16810 19685 20828 25420 26035 33620 39370 52070 52111 78740 104140 104222 161417 208444 213487 260555 322834 426974 521110 645668 807085 853948 1042220 1067435 1614170 2134870 3228340 4269740 6618097 13236194 26472388 33090485 66180970 132361940