Search a number
-
+
1370241780 = 223561715273
BaseRepresentation
bin101000110101100…
…0011101011110100
310112111100111100120
41101223003223310
510301240214110
6343545011540
745645601665
oct12153035364
93474314316
101370241780
11643513a26
12322a83bb0
1318ab5c86b
14cdda736c
1580467870
hex51ac3af4

1370241780 has 96 divisors (see below), whose sum is σ = 3955246848. Its totient is φ = 354278400.

The previous prime is 1370241773. The next prime is 1370241787. The reversal of 1370241780 is 871420731.

It is a happy number.

1370241780 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1370241773) and next prime (1370241787).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1370241787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257224 + ... + 262496.

It is an arithmetic number, because the mean of its divisors is an integer number (41200488).

Almost surely, 21370241780 is an apocalyptic number.

1370241780 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 1370241780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977623424).

1370241780 is an abundant number, since it is smaller than the sum of its proper divisors (2585005068).

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

1370241780 is a wasteful number, since it uses less digits than its factorization.

1370241780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5417 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1370241780 is about 37016.7770071896. Note that the first 3 decimals coincide. The cubic root of 1370241780 is about 1110.7058735630.

The spelling of 1370241780 in words is "one billion, three hundred seventy million, two hundred forty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 71 122 142 183 213 244 284 305 355 366 426 610 710 732 852 915 1065 1220 1420 1830 2130 3660 4260 4331 5273 8662 10546 12993 15819 17324 21092 21655 25986 26365 31638 43310 51972 52730 63276 64965 79095 86620 105460 129930 158190 259860 316380 321653 374383 643306 748766 964959 1123149 1286612 1497532 1608265 1871915 1929918 2246298 3216530 3743830 3859836 4492596 4824795 5615745 6433060 7487660 9649590 11231490 19299180 22462980 22837363 45674726 68512089 91349452 114186815 137024178 228373630 274048356 342560445 456747260 685120890 1370241780