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140577780 = 22357433773
BaseRepresentation
bin10000110000100…
…00101111110100
3100210112002110110
420120100233310
5241441442110
621541023020
73324614520
oct1030205764
9323462413
10140577780
1172397192
123b0b4a70
1323180325
1414954d80
15c51ca20
hex8610bf4

140577780 has 96 divisors (see below), whose sum is σ = 451471104. Its totient is φ = 32016384.

The previous prime is 140577769. The next prime is 140577797. The reversal of 140577780 is 87775041.

It is a super-2 number, since 2×1405777802 = 39524224459456800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181474 + ... + 182246.

It is an arithmetic number, because the mean of its divisors is an integer number (4702824).

Almost surely, 2140577780 is an apocalyptic number.

140577780 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 140577780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225735552).

140577780 is an abundant number, since it is smaller than the sum of its proper divisors (310893324).

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

140577780 is a wasteful number, since it uses less digits than its factorization.

140577780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The square root of 140577780 is about 11856.5500884532. The cubic root of 140577780 is about 519.9627438791.

The spelling of 140577780 in words is "one hundred forty million, five hundred seventy-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 433 773 866 1299 1546 1732 2165 2319 2598 3031 3092 3865 4330 4638 5196 5411 6062 6495 7730 8660 9093 9276 10822 11595 12124 12990 15155 15460 16233 18186 21644 23190 25980 27055 30310 32466 36372 45465 46380 54110 60620 64932 81165 90930 108220 162330 181860 324660 334709 669418 1004127 1338836 1673545 2008254 2342963 3347090 4016508 4685926 5020635 6694180 7028889 9371852 10041270 11714815 14057778 20082540 23429630 28115556 35144445 46859260 70288890 140577780