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1348950720 = 263513108089
BaseRepresentation
bin101000001100111…
…0101101011000000
310111000021210111210
41100121311223000
510230312410340
6341504410120
745266614635
oct12031655300
93430253453
101348950720
116324a1707
12317916940
131866168c0
14cb22418c
157d65e180
hex50675ac0

1348950720 has 112 divisors (see below), whose sum is σ = 4612416480. Its totient is φ = 332046336.

The previous prime is 1348950649. The next prime is 1348950737. The reversal of 1348950720 is 270598431.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41565 + ... + 66524.

It is an arithmetic number, because the mean of its divisors is an integer number (41182290).

Almost surely, 21348950720 is an apocalyptic number.

1348950720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348950720 is an abundant number, since it is smaller than the sum of its proper divisors (3263465760).

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

1348950720 is a wasteful number, since it uses less digits than its factorization.

1348950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108122 (or 108112 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1348950720 is about 36728.0644739142. The cubic root of 1348950720 is about 1104.9230360733.

The spelling of 1348950720 in words is "one billion, three hundred forty-eight million, nine hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 108089 216178 324267 432356 540445 648534 864712 1080890 1297068 1405157 1621335 1729424 2161780 2594136 2810314 3242670 3458848 4215471 4323560 5188272 5620628 6485340 6917696 7025785 8430942 8647120 10376544 11241256 12970680 14051570 16861884 17294240 20753088 21077355 22482512 25941360 28103140 33723768 34588480 42154710 44965024 51882720 56206280 67447536 84309420 89930048 103765440 112412560 134895072 168618840 224825120 269790144 337237680 449650240 674475360 1348950720