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2929330740 = 2235723132141
BaseRepresentation
bin1010111010011010…
…0000101000110100
321120011001102100010
42232212200220310
521444402040430
61202401420220
7132406620600
oct25646405064
97504042303
102929330740
1112735925a6
1269903a670
13378b701cb
141db08c500
15122284cb0
hexae9a0a34

2929330740 has 144 divisors (see below), whose sum is σ = 9849337344. Its totient is φ = 647942400.

The previous prime is 2929330739. The next prime is 2929330751. The reversal of 2929330740 is 470339292.

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, 75070 + ... + 107210.

It is an arithmetic number, because the mean of its divisors is an integer number (68398176).

Almost surely, 22929330740 is an apocalyptic number.

2929330740 is a gapful number since it is divisible by the number (20) 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 2929330740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924668672).

2929330740 is an abundant number, since it is smaller than the sum of its proper divisors (6920006604).

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

2929330740 is a wasteful number, since it uses less digits than its factorization.

2929330740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32198 (or 32189 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 2929330740 is about 54123.2920284788. The cubic root of 2929330740 is about 1430.8347189490.

The spelling of 2929330740 in words is "two billion, nine hundred twenty-nine million, three hundred thirty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 49 60 62 70 84 93 98 105 124 140 147 155 186 196 210 217 245 294 310 372 420 434 465 490 588 620 651 735 868 930 980 1085 1302 1470 1519 1860 2170 2604 2940 3038 3255 4340 4557 6076 6510 7595 9114 13020 15190 18228 22785 30380 32141 45570 64282 91140 96423 128564 160705 192846 224987 321410 385692 449974 482115 642820 674961 899948 964230 996371 1124935 1349922 1574909 1928460 1992742 2249870 2699844 2989113 3149818 3374805 3985484 4499740 4724727 4981855 5978226 6299636 6749610 6974597 7874545 9449454 9963710 11956452 13499220 13949194 14945565 15749090 18898908 19927420 20923791 23623635 27898388 29891130 31498180 34872985 41847582 47247270 48822179 59782260 69745970 83695164 94494540 97644358 104618955 139491940 146466537 195288716 209237910 244110895 292933074 418475820 488221790 585866148 732332685 976443580 1464665370 2929330740