Search a number
-
+
1008770040 = 2332519147481
BaseRepresentation
bin111100001000001…
…001101111111000
32121022011211100100
4330020021233320
54031221120130
6244033235400
733666255345
oct7410115770
92538154310
101008770040
11478473953
12241a02b60
13130cbac65
1497d917cc
155d864c60
hex3c209bf8

1008770040 has 96 divisors (see below), whose sum is σ = 3451078800. Its totient is φ = 254845440.

The previous prime is 1008770011. The next prime is 1008770051. The reversal of 1008770040 is 400778001.

1008770040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1008769986 and 1008770013.

It is a congruent number.

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, 66901 + ... + 80580.

Almost surely, 21008770040 is an apocalyptic number.

1008770040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008770040 is an abundant number, since it is smaller than the sum of its proper divisors (2442308760).

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

1008770040 is a wasteful number, since it uses less digits than its factorization.

1008770040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147517 (or 147510 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1008770040 is about 31761.1404077373. The cubic root of 1008770040 is about 1002.9148421070.

The spelling of 1008770040 in words is "one billion, eight million, seven hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 147481 294962 442443 589924 737405 884886 1179848 1327329 1474810 1769772 2212215 2654658 2802139 2949620 3539544 4424430 5309316 5604278 5899240 6636645 8406417 8848860 10618632 11208556 13273290 14010695 16812834 17697720 22417112 25219251 26546580 28021390 33625668 42032085 50438502 53093160 56042780 67251336 84064170 100877004 112085560 126096255 168128340 201754008 252192510 336256680 504385020 1008770040