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141620040 = 23325616449
BaseRepresentation
bin10000111000011…
…11001101001000
3100212111001011200
420130033031020
5242223320130
622015224200
73336515262
oct1034171510
9325431150
10141620040
1172a39261
123b518060
1323456853
1414b46b32
15c676760
hex870f348

141620040 has 96 divisors (see below), whose sum is σ = 467883000. Its totient is φ = 37140480.

The previous prime is 141620033. The next prime is 141620057. The reversal of 141620040 is 40026141.

141620040 is a `hidden beast` number, since 1 + 4 + 1 + 620 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113678244 + 27941796 = 10662^2 + 5286^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 141619995 and 141620022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18736 + ... + 25184.

Almost surely, 2141620040 is an apocalyptic number.

141620040 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 141620040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233941500).

141620040 is an abundant number, since it is smaller than the sum of its proper divisors (326262960).

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

141620040 is a wasteful number, since it uses less digits than its factorization.

141620040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6527 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 141620040 is about 11900.4218412626. The cubic root of 141620040 is about 521.2446025354.

Adding to 141620040 its reverse (40026141), we get a palindrome (181646181).

The spelling of 141620040 in words is "one hundred forty-one million, six hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 6449 7320 10980 12898 19347 21960 25796 32245 38694 51592 58041 64490 77388 96735 116082 128980 154776 193470 232164 257960 290205 386940 393389 464328 580410 773880 786778 1160820 1180167 1573556 1966945 2321640 2360334 3147112 3540501 3933890 4720668 5900835 7081002 7867780 9441336 11801670 14162004 15735560 17702505 23603340 28324008 35405010 47206680 70810020 141620040