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148997760 = 2735711093
BaseRepresentation
bin10001110000110…
…00011010000000
3101101100212111120
420320120122000
5301120412020
622441312240
73456313542
oct1070303200
9341325446
10148997760
117711824a
1241a95680
1324b3a972
1415b07692
15d132740
hex8e18680

148997760 has 128 divisors (see below), whose sum is σ = 482060160. Its totient is φ = 39137280.

The previous prime is 148997759. The next prime is 148997777. The reversal of 148997760 is 67799841.

It is a tau number, because it is divible by the number of its divisors (128).

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, 135774 + ... + 136866.

It is an arithmetic number, because the mean of its divisors is an integer number (3766095).

Almost surely, 2148997760 is an apocalyptic number.

148997760 is a gapful number since it is divisible by the number (10) 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 148997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241030080).

148997760 is an abundant number, since it is smaller than the sum of its proper divisors (333062400).

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

148997760 is a wasteful number, since it uses less digits than its factorization.

148997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 148997760 is about 12206.4638614138. The cubic root of 148997760 is about 530.1432625651.

The spelling of 148997760 in words is "one hundred forty-eight million, nine hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 240 284 320 355 384 426 480 568 640 710 852 960 1065 1093 1136 1420 1704 1920 2130 2186 2272 2840 3279 3408 4260 4372 4544 5465 5680 6558 6816 8520 8744 9088 10930 11360 13116 13632 16395 17040 17488 21860 22720 26232 27264 32790 34080 34976 43720 45440 52464 65580 68160 69952 77603 87440 104928 131160 136320 139904 155206 174880 209856 232809 262320 310412 349760 388015 419712 465618 524640 620824 699520 776030 931236 1049280 1164045 1241648 1552060 1862472 2098560 2328090 2483296 3104120 3724944 4656180 4966592 6208240 7449888 9312360 9933184 12416480 14899776 18624720 24832960 29799552 37249440 49665920 74498880 148997760