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2031413424 = 243192591987
BaseRepresentation
bin111100100010100…
…1110100010110000
312020120110111100020
41321011032202300
513130020212144
6533324123440
7101224505055
oct17105164260
95216414306
102031413424
11952752a77
12488396580
13264b257a1
14153b1502c
15bd51a419
hex7914e8b0

2031413424 has 120 divisors (see below), whose sum is σ = 5635264320. Its totient is φ = 630308736.

The previous prime is 2031413411. The next prime is 2031413437. The reversal of 2031413424 is 4243141302.

It is an interprime number because it is at equal distance from previous prime (2031413411) and next prime (2031413437).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2031413394 and 2031413403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1021359 + ... + 1023345.

It is an arithmetic number, because the mean of its divisors is an integer number (46960536).

Almost surely, 22031413424 is an apocalyptic number.

2031413424 is a gapful number since it is divisible by the number (24) 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 2031413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817632160).

2031413424 is an abundant number, since it is smaller than the sum of its proper divisors (3603850896).

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

2031413424 is a wasteful number, since it uses less digits than its factorization.

2031413424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2031413424 is about 45071.2039333320. The cubic root of 2031413424 is about 1266.4832178772.

Adding to 2031413424 its reverse (4243141302), we get a palindrome (6274554726).

The spelling of 2031413424 in words is "two billion, thirty-one million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 59 76 114 118 152 177 228 236 304 354 361 456 472 708 722 912 944 1083 1121 1416 1444 1987 2166 2242 2832 2888 3363 3974 4332 4484 5776 5961 6726 7948 8664 8968 11922 13452 15896 17328 17936 21299 23844 26904 31792 37753 42598 47688 53808 63897 75506 85196 95376 113259 117233 127794 151012 170392 226518 234466 255588 302024 340784 351699 453036 468932 511176 604048 703398 717307 906072 937864 1022352 1406796 1434614 1812144 1875728 2151921 2227427 2813592 2869228 4303842 4454854 5627184 5738456 6682281 8607684 8909708 11476912 13364562 17215368 17819416 26729124 34430736 35638832 42321113 53458248 84642226 106916496 126963339 169284452 253926678 338568904 507853356 677137808 1015706712 2031413424