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148503640 = 235233141127
BaseRepresentation
bin10001101100111…
…11110001011000
3101100102202200211
420312133301120
5301004104030
622422540504
73452155135
oct1066376130
9340382624
10148503640
117690aa8a
1241897734
13249c6a9c
1415a1958c
15d08612a
hex8d9fc58

148503640 has 128 divisors (see below), whose sum is σ = 371589120. Its totient is φ = 53222400.

The previous prime is 148503637. The next prime is 148503643. The reversal of 148503640 is 46305841.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (148503637) and next prime (148503643).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148503643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169257 + ... + 1169383.

It is an arithmetic number, because the mean of its divisors is an integer number (2903040).

Almost surely, 2148503640 is an apocalyptic number.

148503640 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 148503640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185794560).

148503640 is an abundant number, since it is smaller than the sum of its proper divisors (223085480).

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

148503640 is a wasteful number, since it uses less digits than its factorization.

148503640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 148503640 is about 12186.2069570478. The cubic root of 148503640 is about 529.5565770204.

The spelling of 148503640 in words is "one hundred forty-eight million, five hundred three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 23 31 40 41 46 62 82 92 115 124 127 155 164 184 205 230 248 254 310 328 410 460 508 620 635 713 820 920 943 1016 1240 1270 1271 1426 1640 1886 2540 2542 2852 2921 3565 3772 3937 4715 5080 5084 5207 5704 5842 6355 7130 7544 7874 9430 10168 10414 11684 12710 14260 14605 15748 18860 19685 20828 23368 25420 26035 28520 29210 29233 31496 37720 39370 41656 50840 52070 58420 58466 78740 90551 104140 116840 116932 119761 146165 157480 161417 181102 208280 233864 239522 292330 322834 362204 452755 479044 584660 598805 645668 724408 807085 905510 958088 1169320 1197610 1291336 1614170 1811020 2395220 3228340 3622040 3712591 4790440 6456680 7425182 14850364 18562955 29700728 37125910 74251820 148503640