Search a number
-
+
122413440 = 2735103619
BaseRepresentation
bin1110100101111…
…10000110000000
322112100020200010
413102332012000
5222314212230
620051424520
73014332332
oct722760600
9275306603
10122413440
1163110036
1234bb5140
131c4905b6
1412387452
15ab309b0
hex74be180

122413440 has 128 divisors (see below), whose sum is σ = 394617600. Its totient is φ = 32274432.

The previous prime is 122413439. The next prime is 122413471. The reversal of 122413440 is 44314221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197451 + ... + 198069.

It is an arithmetic number, because the mean of its divisors is an integer number (3082950).

Almost surely, 2122413440 is an apocalyptic number.

122413440 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 122413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197308800).

122413440 is an abundant number, since it is smaller than the sum of its proper divisors (272204160).

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

122413440 is a wasteful number, since it uses less digits than its factorization.

122413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 122413440 is about 11064.0607373604. The cubic root of 122413440 is about 496.5271883364.

Adding to 122413440 its reverse (44314221), we get a palindrome (166727661).

The spelling of 122413440 in words is "one hundred twenty-two million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 128 160 192 206 240 309 320 384 412 480 515 618 619 640 824 960 1030 1236 1238 1545 1648 1857 1920 2060 2472 2476 3090 3095 3296 3714 4120 4944 4952 6180 6190 6592 7428 8240 9285 9888 9904 12360 12380 13184 14856 16480 18570 19776 19808 24720 24760 29712 32960 37140 39552 39616 49440 49520 59424 63757 65920 74280 79232 98880 99040 118848 127514 148560 191271 197760 198080 237696 255028 297120 318785 382542 396160 510056 594240 637570 765084 956355 1020112 1188480 1275140 1530168 1912710 2040224 2550280 3060336 3825420 4080448 5100560 6120672 7650840 8160896 10201120 12241344 15301680 20402240 24482688 30603360 40804480 61206720 122413440