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120203424 = 253211191997
BaseRepresentation
bin1110010101000…
…10100010100000
322101011222002200
413022202202200
5221233002144
615532213200
72656466205
oct712424240
9271158080
10120203424
1161940680
123430a200
131bb986b3
1411d6dcac
15a845c69
hex72a28a0

120203424 has 144 divisors (see below), whose sum is σ = 392726880. Its totient is φ = 34490880.

The previous prime is 120203423. The next prime is 120203429. The reversal of 120203424 is 424302021.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120203397 and 120203406.

It is not an unprimeable number, because it can be changed into a prime (120203423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59194 + ... + 61190.

It is an arithmetic number, because the mean of its divisors is an integer number (2727270).

Almost surely, 2120203424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196363440).

120203424 is an abundant number, since it is smaller than the sum of its proper divisors (272523456).

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

120203424 is a wasteful number, since it uses less digits than its factorization.

120203424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 120203424 is about 10963.7322112500. The cubic root of 120203424 is about 493.5209723690.

Adding to 120203424 its reverse (424302021), we get a palindrome (544505445).

The spelling of 120203424 in words is "one hundred twenty million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 288 304 342 352 396 418 456 528 608 627 684 792 836 912 1056 1254 1368 1584 1672 1824 1881 1997 2508 2736 3168 3344 3762 3994 5016 5472 5991 6688 7524 7988 10032 11982 15048 15976 17973 20064 21967 23964 30096 31952 35946 37943 43934 47928 60192 63904 65901 71892 75886 87868 95856 113829 131802 143784 151772 175736 191712 197703 227658 263604 287568 303544 341487 351472 395406 417373 455316 527208 575136 607088 682974 702944 790812 834746 910632 1054416 1214176 1252119 1365948 1581624 1669492 1821264 2108832 2504238 2731896 3163248 3338984 3642528 3756357 5008476 5463792 6326496 6677968 7512714 10016952 10927584 13355936 15025428 20033904 30050856 40067808 60101712 120203424