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968929740 = 2232523283827
BaseRepresentation
bin111001110000001…
…011000111001100
32111112012201201200
4321300023013030
53441021222430
6240051305500
733003524022
oct7160130714
92445181650
10968929740
11457a32289
122305ab290
1312597c00c
1492980712
155a0e5460
hex39c0b1cc

968929740 has 144 divisors (see below), whose sum is σ = 3081431808. Its totient is φ = 245976192.

The previous prime is 968929733. The next prime is 968929777. The reversal of 968929740 is 47929869.

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, 1171207 + ... + 1172033.

It is an arithmetic number, because the mean of its divisors is an integer number (21398832).

Almost surely, 2968929740 is an apocalyptic number.

968929740 is a gapful number since it is divisible by the number (90) 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 968929740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540715904).

968929740 is an abundant number, since it is smaller than the sum of its proper divisors (2112502068).

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

968929740 is a wasteful number, since it uses less digits than its factorization.

968929740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 968929740 is about 31127.6362738965. The cubic root of 968929740 is about 989.5340935982.

The spelling of 968929740 in words is "nine hundred sixty-eight million, nine hundred twenty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 283 345 414 460 566 690 827 828 849 1035 1132 1380 1415 1654 1698 2070 2481 2547 2830 3308 3396 4135 4140 4245 4962 5094 5660 6509 7443 8270 8490 9924 10188 12405 12735 13018 14886 16540 16980 19021 19527 24810 25470 26036 29772 32545 37215 38042 39054 49620 50940 57063 58581 65090 74430 76084 78108 95105 97635 114126 117162 130180 148860 171189 190210 195270 228252 234041 234324 285315 292905 342378 380420 390540 468082 570630 585810 684756 702123 855945 936164 1141260 1170205 1171620 1404246 1711890 2106369 2340410 2808492 3423780 3510615 4212738 4680820 5382943 7021230 8425476 10531845 10765886 14042460 16148829 21063690 21531772 26914715 32297658 42127380 48446487 53829430 64595316 80744145 96892974 107658860 161488290 193785948 242232435 322976580 484464870 968929740