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3705150132 = 22322331144349
BaseRepresentation
bin1101110011011000…
…0001101010110100
3100120012220010110200
43130312001222310
530042004301012
61411354120500
7160550153655
oct33466015264
910505803420
103705150132
111631508152
12874a20130
13470807b38
1427212152c
1516a4323dc
hexdcd81ab4

3705150132 has 72 divisors (see below), whose sum is σ = 10088332800. Its totient is φ = 1143236160.

The previous prime is 3705150073. The next prime is 3705150133. The reversal of 3705150132 is 2310515073.

3705150132 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3705150096 and 3705150105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3705150133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46507 + ... + 97842.

Almost surely, 23705150132 is an apocalyptic number.

It is an amenable number.

3705150132 is an abundant number, since it is smaller than the sum of its proper divisors (6383182668).

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

3705150132 is a wasteful number, since it uses less digits than its factorization.

3705150132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144413 (or 144408 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 3705150132 is about 60869.9444060860. The cubic root of 3705150132 is about 1547.3976634200.

The spelling of 3705150132 in words is "three billion, seven hundred five million, one hundred fifty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 1116 1426 2139 2852 4278 6417 8556 12834 25668 144349 288698 433047 577396 866094 1299141 1732188 2598282 3320027 4474819 5196564 6640054 8949638 9960081 13280108 13424457 17899276 19920162 26848914 29880243 39840324 40273371 53697828 59760486 80546742 102920837 119520972 161093484 205841674 308762511 411683348 617525022 926287533 1235050044 1852575066 3705150132