Search a number
-
+
142004400 = 24352176961
BaseRepresentation
bin10000111011011…
…01000010110000
3100220012120102020
420131231002300
5242323120100
622031351440
73343005666
oct1035550260
9326176366
10142004400
117318100a
123b682580
132355c795
1414c06c36
15c7005a0
hex876d0b0

142004400 has 120 divisors (see below), whose sum is σ = 481714704. Its totient is φ = 35635200.

The previous prime is 142004399. The next prime is 142004431. The reversal of 142004400 is 4400241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 142004400.

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, 16920 + ... + 23880.

Almost surely, 2142004400 is an apocalyptic number.

142004400 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 142004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240857352).

142004400 is an abundant number, since it is smaller than the sum of its proper divisors (339710304).

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

142004400 is a wasteful number, since it uses less digits than its factorization.

142004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 142004400 is about 11916.5599062817. The cubic root of 142004400 is about 521.7157331295.

Adding to 142004400 its reverse (4400241), we get a palindrome (146404641).

The spelling of 142004400 in words is "one hundred forty-two million, four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 6961 10200 13922 20400 20883 27844 34805 41766 55688 69610 83532 104415 111376 118337 139220 167064 174025 208830 236674 278440 334128 348050 355011 417660 473348 522075 556880 591685 696100 710022 835320 946696 1044150 1183370 1392200 1420044 1670640 1775055 1893392 2088300 2366740 2784400 2840088 2958425 3550110 4176600 4733480 5680176 5916850 7100220 8353200 8875275 9466960 11833700 14200440 17750550 23667400 28400880 35501100 47334800 71002200 142004400