Search a number
-
+
1220103040 = 27513146647
BaseRepresentation
bin100100010111001…
…0100101110000000
310011000211122201111
41020232110232000
54444321244130
6321023013104
742143463502
oct11056245600
93130748644
101220103040
11576797522
122a073a194
13165a12780
14b8083d72
15721ac02a
hex48b94b80

1220103040 has 64 divisors (see below), whose sum is σ = 3141200160. Its totient is φ = 450496512.

The previous prime is 1220103037. The next prime is 1220103043. The reversal of 1220103040 is 403010221.

It is an interprime number because it is at equal distance from previous prime (1220103037) and next prime (1220103043).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1220103040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220103043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65004 + ... + 81643.

Almost surely, 21220103040 is an apocalyptic number.

1220103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220103040 is an abundant number, since it is smaller than the sum of its proper divisors (1921097120).

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

1220103040 is a wasteful number, since it uses less digits than its factorization.

1220103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146679 (or 146667 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1220103040 is about 34929.9733753119. The cubic root of 1220103040 is about 1068.5598116253.

Adding to 1220103040 its reverse (403010221), we get a palindrome (1623113261).

The spelling of 1220103040 in words is "one billion, two hundred twenty million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 146647 293294 586588 733235 1173176 1466470 1906411 2346352 2932940 3812822 4692704 5865880 7625644 9385408 9532055 11731760 15251288 18770816 19064110 23463520 30502576 38128220 46927040 61005152 76256440 93854080 122010304 152512880 244020608 305025760 610051520 1220103040