Search a number
-
+
140877648 = 243237137193
BaseRepresentation
bin10000110010110…
…01111101010000
3100211002022210200
420121121331100
5242031041043
621551255200
73330304002
oct1031317520
9324068720
10140877648
117258150a
123b21a500
1323256972
14149d2372
15c57b7d3
hex8659f50

140877648 has 120 divisors (see below), whose sum is σ = 409986408. Its totient is φ = 45121536.

The previous prime is 140877641. The next prime is 140877673. The reversal of 140877648 is 846778041.

It can be written as a sum of positive squares in 4 ways, for example, as 35856144 + 105021504 = 5988^2 + 10248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140877641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729840 + ... + 730032.

Almost surely, 2140877648 is an apocalyptic number.

140877648 is a gapful number since it is divisible by the number (18) 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 140877648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204993204).

140877648 is an abundant number, since it is smaller than the sum of its proper divisors (269108760).

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

140877648 is a wasteful number, since it uses less digits than its factorization.

140877648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 140877648 is about 11869.1890203164. The cubic root of 140877648 is about 520.3321940494.

The spelling of 140877648 in words is "one hundred forty million, eight hundred seventy-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 137 144 148 193 222 274 296 333 386 411 444 548 579 592 666 772 822 888 1096 1158 1233 1332 1544 1644 1737 1776 2192 2316 2466 2664 3088 3288 3474 4632 4932 5069 5328 6576 6948 7141 9264 9864 10138 13896 14282 15207 19728 20276 21423 26441 27792 28564 30414 40552 42846 45621 52882 57128 60828 64269 79323 81104 85692 91242 105764 114256 121656 128538 158646 171384 182484 211528 237969 243312 257076 317292 342768 364968 423056 475938 514152 634584 729936 951876 978317 1028304 1269168 1903752 1956634 2934951 3807504 3913268 5869902 7826536 8804853 11739804 15653072 17609706 23479608 35219412 46959216 70438824 140877648