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1007227494 = 233713215767
BaseRepresentation
bin111100000010010…
…001001001100110
32121012021110101000
4330002101021212
54030322234434
6243540214130
733650202210
oct7402211146
92535243330
101007227494
1147760aa19
1224139a346
1313089ab00
1497aad5b0
155d65cb99
hex3c091266

1007227494 has 96 divisors (see below), whose sum is σ = 2770122240. Its totient is φ = 265625568.

The previous prime is 1007227489. The next prime is 1007227511. The reversal of 1007227494 is 4947227001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55999 + ... + 71765.

It is an arithmetic number, because the mean of its divisors is an integer number (28855440).

Almost surely, 21007227494 is an apocalyptic number.

1007227494 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007227494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385061120).

1007227494 is an abundant number, since it is smaller than the sum of its proper divisors (1762894746).

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

1007227494 is a wasteful number, since it uses less digits than its factorization.

1007227494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15811 (or 15792 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1007227494 is about 31736.8475750192. The cubic root of 1007227494 is about 1002.4033837855.

The spelling of 1007227494 in words is "one billion, seven million, two hundred twenty-seven thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 169 182 189 234 273 338 351 378 507 546 702 819 1014 1183 1521 1638 2366 2457 3042 3549 4563 4914 7098 9126 10647 15767 21294 31534 31941 47301 63882 94602 110369 141903 204971 220738 283806 331107 409942 425709 614913 662214 851418 993321 1229826 1434797 1844739 1986642 2664623 2869594 2979963 3689478 4304391 5329246 5534217 5959926 7993869 8608782 11068434 12913173 15987738 18652361 23981607 25826346 37304722 38739519 47963214 55957083 71944821 77479038 111914166 143889642 167871249 335742498 503613747 1007227494