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361286130 = 235371671949
BaseRepresentation
bin10101100010001…
…100100111110010
3221011211020101210
4111202030213302
51214442124010
655503340550
711644611222
oct2542144762
9834736353
10361286130
11175a33687
12a0bb1756
1359b0829a
1435da8082
1521ab7b20
hex1588c9f2

361286130 has 64 divisors (see below), whose sum is σ = 896313600. Its totient is φ = 93129984.

The previous prime is 361286071. The next prime is 361286141. The reversal of 361286130 is 31682163.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184396 + ... + 186344.

It is an arithmetic number, because the mean of its divisors is an integer number (14004900).

Almost surely, 2361286130 is an apocalyptic number.

361286130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 361286130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448156800).

361286130 is an abundant number, since it is smaller than the sum of its proper divisors (535027470).

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

361286130 is a wasteful number, since it uses less digits than its factorization.

361286130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 361286130 is about 19007.5282454084. The cubic root of 361286130 is about 712.2248072363.

The spelling of 361286130 in words is "three hundred sixty-one million, two hundred eighty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 167 185 222 334 370 501 555 835 1002 1110 1670 1949 2505 3898 5010 5847 6179 9745 11694 12358 18537 19490 29235 30895 37074 58470 61790 72113 92685 144226 185370 216339 325483 360565 432678 650966 721130 976449 1081695 1627415 1952898 2163390 3254830 4882245 9764490 12042871 24085742 36128613 60214355 72257226 120428710 180643065 361286130