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148978560 = 2735312503
BaseRepresentation
bin10001110000100…
…11101110000000
3101101022220011110
420320103232000
5301114303220
622441043320
73456203553
oct1070235600
9341286143
10148978560
1177104885
1241a86540
1324b31cc3
1415b0069a
15d12bbe0
hex8e13b80

148978560 has 128 divisors (see below), whose sum is σ = 490383360. Its totient is φ = 38430720.

The previous prime is 148978559. The next prime is 148978603. The reversal of 148978560 is 65879841.

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

It is a super-2 number, since 2×1489785602 = 44389222679347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58269 + ... + 60771.

It is an arithmetic number, because the mean of its divisors is an integer number (3831120).

Almost surely, 2148978560 is an apocalyptic number.

148978560 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 148978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245191680).

148978560 is an abundant number, since it is smaller than the sum of its proper divisors (341404800).

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

148978560 is a wasteful number, since it uses less digits than its factorization.

148978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 148978560 is about 12205.6773675204. The cubic root of 148978560 is about 530.1204899904.

The spelling of 148978560 in words is "one hundred forty-eight million, nine hundred seventy-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 930 960 992 1240 1488 1860 1920 1984 2480 2503 2976 3720 3968 4960 5006 5952 7440 7509 9920 10012 11904 12515 14880 15018 19840 20024 25030 29760 30036 37545 40048 50060 59520 60072 75090 77593 80096 100120 120144 150180 155186 160192 200240 232779 240288 300360 310372 320384 387965 400480 465558 480576 600720 620744 775930 800960 931116 961152 1163895 1201440 1241488 1551860 1601920 1862232 2327790 2402880 2482976 3103720 3724464 4655580 4805760 4965952 6207440 7448928 9311160 9931904 12414880 14897856 18622320 24829760 29795712 37244640 49659520 74489280 148978560