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140522004 = 223272372153
BaseRepresentation
bin10000110000000…
…11001000010100
3100210102020221200
420120003020110
5241433201004
621535512500
73324263100
oct1030031024
9323366850
10140522004
1172359297
123b088730
1323160b1c
141493c900
15c50b239
hex8603214

140522004 has 108 divisors (see below), whose sum is σ = 424566324. Its totient is φ = 39045888.

The previous prime is 140521999. The next prime is 140522009. The reversal of 140522004 is 400225041.

140522004 is a `hidden beast` number, since 140 + 522 + 0 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (140521999) and next prime (140522009).

It can be written as a sum of positive squares in 2 ways, for example, as 66389904 + 74132100 = 8148^2 + 8610^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140522009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64192 + ... + 66344.

Almost surely, 2140522004 is an apocalyptic number.

140522004 is a gapful number since it is divisible by the number (14) 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 140522004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212283162).

140522004 is an abundant number, since it is smaller than the sum of its proper divisors (284044320).

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

140522004 is a wasteful number, since it uses less digits than its factorization.

140522004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 140522004 is about 11854.1977375105. The cubic root of 140522004 is about 519.8939675324.

Adding to 140522004 its reverse (400225041), we get a palindrome (540747045).

It can be divided in two parts, 1405 and 22004, that added together give a square (23409 = 1532).

The spelling of 140522004 in words is "one hundred forty million, five hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 49 63 74 84 98 111 126 147 148 196 222 252 259 294 333 441 444 518 588 666 777 882 1036 1332 1554 1764 1813 2153 2331 3108 3626 4306 4662 5439 6459 7252 8612 9324 10878 12918 15071 16317 19377 21756 25836 30142 32634 38754 45213 60284 65268 77508 79661 90426 105497 135639 159322 180852 210994 238983 271278 316491 318644 421988 477966 542556 557627 632982 716949 949473 955932 1115254 1265964 1433898 1672881 1898946 2230508 2867796 3345762 3797892 3903389 5018643 6691524 7806778 10037286 11710167 15613556 20074572 23420334 35130501 46840668 70261002 140522004