Search a number
-
+
1045040700 = 2235211228789
BaseRepresentation
bin111110010010100…
…000111000111100
32200211102120100010
4332102200320330
54120012300300
6251410503220
734616461614
oct7622407074
92624376303
101045040700
11496997600
12251b94b10
1313867a1a2
149cb13a44
1561b2ba50
hex3e4a0e3c

1045040700 has 108 divisors (see below), whose sum is σ = 3323632760. Its totient is φ = 253334400.

The previous prime is 1045040681. The next prime is 1045040747. The reversal of 1045040700 is 70405401.

1045040700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10450407002 = 2184220129312980000, 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 35 ways as a sum of consecutive naturals, for example, 21906 + ... + 50694.

Almost surely, 21045040700 is an apocalyptic number.

1045040700 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 1045040700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661816380).

1045040700 is an abundant number, since it is smaller than the sum of its proper divisors (2278592060).

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

1045040700 is a wasteful number, since it uses less digits than its factorization.

1045040700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28828 (or 28810 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1045040700 is about 32327.0892596287. The cubic root of 1045040700 is about 1014.7936358025.

The spelling of 1045040700 in words is "one billion, forty-five million, forty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 28789 36300 57578 86367 115156 143945 172734 287890 316679 345468 431835 575780 633358 719725 863670 950037 1266716 1439450 1583395 1727340 1900074 2159175 2878900 3166790 3483469 3800148 4318350 4750185 6333580 6966938 7916975 8636700 9500370 10450407 13933876 15833950 17417345 19000740 20900814 23750925 31667900 34834690 41801628 47501850 52252035 69669380 87086725 95003700 104504070 174173450 209008140 261260175 348346900 522520350 1045040700