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368420130 = 233513432441
BaseRepresentation
bin10101111101011…
…010010100100010
3221200020200102000
4111331122110202
51223303421010
6100320304430
712062343111
oct2575322442
9850220360
10368420130
11179a66551
12a3472116
135b4354a0
1436d03c78
15225267c0
hex15f5a522

368420130 has 128 divisors (see below), whose sum is σ = 1083075840. Its totient is φ = 88542720.

The previous prime is 368420113. The next prime is 368420149. The reversal of 368420130 is 31024863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 368420094 and 368420103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149710 + ... + 152150.

It is an arithmetic number, because the mean of its divisors is an integer number (8461530).

Almost surely, 2368420130 is an apocalyptic number.

368420130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 368420130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541537920).

368420130 is an abundant number, since it is smaller than the sum of its proper divisors (714655710).

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

368420130 is a wasteful number, since it uses less digits than its factorization.

368420130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 368420130 is about 19194.2733647304. The cubic root of 368420130 is about 716.8821780803.

Adding to 368420130 its reverse (31024863), we get a palindrome (399444993).

The spelling of 368420130 in words is "three hundred sixty-eight million, four hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 43 45 54 65 78 86 90 117 129 130 135 195 215 234 258 270 351 387 390 430 559 585 645 702 774 1118 1161 1170 1290 1677 1755 1935 2322 2441 2795 3354 3510 3870 4882 5031 5590 5805 7323 8385 10062 11610 12205 14646 15093 16770 21969 24410 25155 30186 31733 36615 43938 50310 63466 65907 73230 75465 95199 104963 109845 131814 150930 158665 190398 209926 219690 285597 314889 317330 329535 475995 524815 571194 629778 659070 856791 944667 951990 1049630 1364519 1427985 1574445 1713582 1889334 2729038 2834001 2855970 3148890 4093557 4283955 4723335 5668002 6822595 8187114 8567910 9446670 12280671 13645190 14170005 20467785 24561342 28340010 36842013 40935570 61403355 73684026 122806710 184210065 368420130