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260906240 = 285737787
BaseRepresentation
bin11111000110100…
…01110100000000
3200011221102002002
433203101310000
51013242444430
641520043132
76315444410
oct1743216400
9604842062
10260906240
111243027a1
12734634a8
13420908ba
1426918640
1517d8a845
hexf8d1d00

260906240 has 144 divisors (see below), whose sum is σ = 734466432. Its totient is φ = 86925312.

The previous prime is 260906221. The next prime is 260906263. The reversal of 260906240 is 42609062.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331127 + ... + 331913.

Almost surely, 2260906240 is an apocalyptic number.

260906240 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 260906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367233216).

260906240 is an abundant number, since it is smaller than the sum of its proper divisors (473560192).

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

260906240 is an equidigital number, since it uses as much as digits as its factorization.

260906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 260906240 is about 16152.5923615994. The cubic root of 260906240 is about 638.9911187920.

The spelling of 260906240 in words is "two hundred sixty million, nine hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 128 140 148 160 185 224 256 259 280 296 320 370 448 518 560 592 640 740 787 896 1036 1120 1184 1280 1295 1480 1574 1792 2072 2240 2368 2590 2960 3148 3935 4144 4480 4736 5180 5509 5920 6296 7870 8288 8960 9472 10360 11018 11840 12592 15740 16576 20720 22036 23680 25184 27545 29119 31480 33152 41440 44072 47360 50368 55090 58238 62960 66304 82880 88144 100736 110180 116476 125920 145595 165760 176288 201472 203833 220360 232952 251840 291190 331520 352576 407666 440720 465904 503680 582380 705152 815332 881440 931808 1007360 1019165 1164760 1410304 1630664 1762880 1863616 2038330 2329520 3261328 3525760 3727232 4076660 4659040 6522656 7051520 7454464 8153320 9318080 13045312 16306640 18636160 26090624 32613280 37272320 52181248 65226560 130453120 260906240