Search a number
-
+
141016320 = 2832512241
BaseRepresentation
bin10000110011110…
…11110100000000
3100211100101000200
420121323310000
5242100010240
621554245200
73331422204
oct1031736400
9324311020
10141016320
1172666715
123b286800
13232a4b13
1414a2ab04
15c5a7930
hex867bd00

141016320 has 108 divisors (see below), whose sum is σ = 487941636. Its totient is φ = 37601280.

The previous prime is 141016237. The next prime is 141016331. The reversal of 141016320 is 23610141.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43243776 + 97772544 = 6576^2 + 9888^2 .

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 = 141016293 and 141016302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5400 + ... + 17640.

Almost surely, 2141016320 is an apocalyptic number.

141016320 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 141016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243970818).

141016320 is an abundant number, since it is smaller than the sum of its proper divisors (346925316).

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

141016320 is a wasteful number, since it uses less digits than its factorization.

141016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12268 (or 12251 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 141016320 is about 11875.0292631218. The cubic root of 141016320 is about 520.5028666027.

Adding to 141016320 its reverse (23610141), we get a palindrome (164626461).

The spelling of 141016320 in words is "one hundred forty-one million, sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 12241 24482 36723 48964 61205 73446 97928 110169 122410 146892 183615 195856 220338 244820 293784 367230 391712 440676 489640 550845 587568 734460 783424 881352 979280 1101690 1175136 1468920 1566848 1762704 1958560 2203380 2350272 2937840 3133696 3525408 3917120 4406760 4700544 5875680 7050816 7834240 8813520 9401088 11751360 14101632 15668480 17627040 23502720 28203264 35254080 47005440 70508160 141016320